Answer:
x=-8
Step-by-step explanation:
Simplifying
5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Reorder the terms:
5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Reorder the terms:
-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Reorder the terms:
-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: -15 + 14 = -1
-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: -1 + -28 = -29
-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: -29 + 2 = -27
-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: 5x + -7x = -2x
-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: -2x + -8x = -10x
-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Combine like terms: -10x + -3x = -13x
-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x
Reorder the terms:
-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x
-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x
-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x
-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x
-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x
Reorder the terms:
-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x
Combine like terms: 11 + 56 = 67
-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x
Combine like terms: 67 + -6 = 61
-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x
Combine like terms: 61 + 8 = 69
-27 + -13x = 69 + -8x + 4x + 5x + -2x
Combine like terms: -8x + 4x = -4x
-27 + -13x = 69 + -4x + 5x + -2x
Combine like terms: -4x + 5x = 1x
-27 + -13x = 69 + 1x + -2x
Combine like terms: 1x + -2x = -1x
-27 + -13x = 69 + -1x
Solving
-27 + -13x = 69 + -1x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add 'x' to each side of the equation.
-27 + -13x + x = 69 + -1x + x
Combine like terms: -13x + x = -12x
-27 + -12x = 69 + -1x + x
Combine like terms: -1x + x = 0
-27 + -12x = 69 + 0
-27 + -12x = 69
Add '27' to each side of the equation.
-27 + 27 + -12x = 69 + 27
Combine like terms: -27 + 27 = 0
0 + -12x = 69 + 27
-12x = 69 + 27
Combine like terms: 69 + 27 = 96
-12x = 96
Divide each side by '-12'.
x = -8
Simplifying
x = -8