Answer:
Step-by-step explanation:
Simplifying
10(x + 3) + -1(-9x + -4) = x + -5 + 3
Reorder the terms:
10(3 + x) + -1(-9x + -4) = x + -5 + 3
(3 * 10 + x * 10) + -1(-9x + -4) = x + -5 + 3
(30 + 10x) + -1(-9x + -4) = x + -5 + 3
Reorder the terms:
30 + 10x + -1(-4 + -9x) = x + -5 + 3
30 + 10x + (-4 * -1 + -9x * -1) = x + -5 + 3
30 + 10x + (4 + 9x) = x + -5 + 3
Reorder the terms:
30 + 4 + 10x + 9x = x + -5 + 3
Combine like terms: 30 + 4 = 34
34 + 10x + 9x = x + -5 + 3
Combine like terms: 10x + 9x = 19x
34 + 19x = x + -5 + 3
Reorder the terms:
34 + 19x = -5 + 3 + x
Combine like terms: -5 + 3 = -2
34 + 19x = -2 + x
Solving
34 + 19x = -2 + x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x' to each side of the equation.
34 + 19x + -1x = -2 + x + -1x
Combine like terms: 19x + -1x = 18x
34 + 18x = -2 + x + -1x
Combine like terms: x + -1x = 0
34 + 18x = -2 + 0
34 + 18x = -2
Add '-34' to each side of the equation.
34 + -34 + 18x = -2 + -34
Combine like terms: 34 + -34 = 0
0 + 18x = -2 + -34
18x = -2 + -34
Combine like terms: -2 + -34 = -36
18x = -36
Divide each side by '18'.
x = -2
Simplifying
x = -2
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