2(x+5)-3(x-2)=4x-4

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Solution for 2(x+5)-3(x-2)=4x-4 equation: 


Simplifying
2(x + 5) + -3(x + -2) = 4x + -4

Reorder the terms:
2(5 + x) + -3(x + -2) = 4x + -4
(5 * 2 + x * 2) + -3(x + -2) = 4x + -4
(10 + 2x) + -3(x + -2) = 4x + -4

Reorder the terms:
10 + 2x + -3(-2 + x) = 4x + -4
10 + 2x + (-2 * -3 + x * -3) = 4x + -4
10 + 2x + (6 + -3x) = 4x + -4

Reorder the terms:
10 + 6 + 2x + -3x = 4x + -4

Combine like terms: 10 + 6 = 16
16 + 2x + -3x = 4x + -4

Combine like terms: 2x + -3x = -1x
16 + -1x = 4x + -4

Reorder the terms:
16 + -1x = -4 + 4x

Solving
16 + -1x = -4 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
16 + -1x + -4x = -4 + 4x + -4x

Combine like terms: -1x + -4x = -5x
16 + -5x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
16 + -5x = -4 + 0
16 + -5x = -4

Add '-16' to each side of the equation.
16 + -16 + -5x = -4 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = -4 + -16
-5x = -4 + -16

Combine like terms: -4 + -16 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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