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

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


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

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

Remove parenthesis around (-8 + 3x)
4x + -8 + 3x = 5x + -7

Reorder the terms:
-8 + 4x + 3x = 5x + -7

Combine like terms: 4x + 3x = 7x
-8 + 7x = 5x + -7

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

Solving
-8 + 7x = -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 + 7x + -5x = -7 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-8 + 2x = -7 + 0
-8 + 2x = -7

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

Combine like terms: -8 + 8 = 0
0 + 2x = -7 + 8
2x = -7 + 8

Combine like terms: -7 + 8 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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