8-3(x-4)=2x-15

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Solution for 8-3(x-4)=2x-15 equation: 


Simplifying
8 + -3(x + -4) = 2x + -15

Reorder the terms:
8 + -3(-4 + x) = 2x + -15
8 + (-4 * -3 + x * -3) = 2x + -15
8 + (12 + -3x) = 2x + -15

Combine like terms: 8 + 12 = 20
20 + -3x = 2x + -15

Reorder the terms:
20 + -3x = -15 + 2x

Solving
20 + -3x = -15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
20 + -3x + -2x = -15 + 2x + -2x

Combine like terms: -3x + -2x = -5x
20 + -5x = -15 + 2x + -2x

Combine like terms: 2x + -2x = 0
20 + -5x = -15 + 0
20 + -5x = -15

Add '-20' to each side of the equation.
20 + -20 + -5x = -15 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -15 + -20
-5x = -15 + -20

Combine like terms: -15 + -20 = -35
-5x = -35

Divide each side by '-5'.
x = 7

Simplifying
x = 7

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