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

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


Simplifying
7x + -1(8x + -5) = 4x + -8

Reorder the terms:
7x + -1(-5 + 8x) = 4x + -8
7x + (-5 * -1 + 8x * -1) = 4x + -8
7x + (5 + -8x) = 4x + -8

Reorder the terms:
5 + 7x + -8x = 4x + -8

Combine like terms: 7x + -8x = -1x
5 + -1x = 4x + -8

Reorder the terms:
5 + -1x = -8 + 4x

Solving
5 + -1x = -8 + 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.
5 + -1x + -4x = -8 + 4x + -4x

Combine like terms: -1x + -4x = -5x
5 + -5x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -5x = -8 + 0
5 + -5x = -8

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

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

Combine like terms: -8 + -5 = -13
-5x = -13

Divide each side by '-5'.
x = 2.6

Simplifying
x = 2.6

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