2(2-x)=3(x-4)+15

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Solution for 2(2-x)=3(x-4)+15 equation:


Simplifying
2(2 + -1x) = 3(x + -4) + 15
(2 * 2 + -1x * 2) = 3(x + -4) + 15
(4 + -2x) = 3(x + -4) + 15

Reorder the terms:
4 + -2x = 3(-4 + x) + 15
4 + -2x = (-4 * 3 + x * 3) + 15
4 + -2x = (-12 + 3x) + 15

Reorder the terms:
4 + -2x = -12 + 15 + 3x

Combine like terms: -12 + 15 = 3
4 + -2x = 3 + 3x

Solving
4 + -2x = 3 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
4 + -2x + -3x = 3 + 3x + -3x

Combine like terms: -2x + -3x = -5x
4 + -5x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -5x = 3 + 0
4 + -5x = 3

Add '-4' to each side of the equation.
4 + -4 + -5x = 3 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 3 + -4
-5x = 3 + -4

Combine like terms: 3 + -4 = -1
-5x = -1

Divide each side by '-5'.
x = 0.2

Simplifying
x = 0.2

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