Question

1.2x+3.7=2.2x - 4.5 what does x=

Answer 1

Simplifying
1.2x + 3.7 = 2.2x + -4.5

Reorder the terms:
3.7 + 1.2x = 2.2x + -4.5

Reorder the terms:
3.7 + 1.2x = -4.5 + 2.2x

Solving
3.7 + 1.2x = -4.5 + 2.2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.2x' to each side of the equation.
3.7 + 1.2x + -2.2x = -4.5 + 2.2x + -2.2x

Combine like terms: 1.2x + -2.2x = -1x
3.7 + -1x = -4.5 + 2.2x + -2.2x

Combine like terms: 2.2x + -2.2x = 0.0
3.7 + -1x = -4.5 + 0.0
3.7 + -1x = -4.5

Add '-3.7' to each side of the equation.
3.7 + -3.7 + -1x = -4.5 + -3.7

Combine like terms: 3.7 + -3.7 = 0.0
0.0 + -1x = -4.5 + -3.7
-1x = -4.5 + -3.7

Combine like terms: -4.5 + -3.7 = -8.2
-1x = -8.2

Divide each side by '-1'.
x = 8.2

Simplifying
x = 8.2