8x-2(3x-4)=5x-7

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Solution for 8x-2(3x-4)=5x-7 equation:


Simplifying
8x + -2(3x + -4) = 5x + -7

Reorder the terms:
8x + -2(-4 + 3x) = 5x + -7
8x + (-4 * -2 + 3x * -2) = 5x + -7
8x + (8 + -6x) = 5x + -7

Reorder the terms:
8 + 8x + -6x = 5x + -7

Combine like terms: 8x + -6x = 2x
8 + 2x = 5x + -7

Reorder the terms:
8 + 2x = -7 + 5x

Solving
8 + 2x = -7 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + 2x + -5x = -7 + 5x + -5x

Combine like terms: 2x + -5x = -3x
8 + -3x = -7 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -3x = -7 + 0
8 + -3x = -7

Add '-8' to each side of the equation.
8 + -8 + -3x = -7 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -7 + -8
-3x = -7 + -8

Combine like terms: -7 + -8 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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