4x-3(2x-1)=5x-8

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Solution for 4x-3(2x-1)=5x-8 equation:


Simplifying
4x + -3(2x + -1) = 5x + -8

Reorder the terms:
4x + -3(-1 + 2x) = 5x + -8
4x + (-1 * -3 + 2x * -3) = 5x + -8
4x + (3 + -6x) = 5x + -8

Reorder the terms:
3 + 4x + -6x = 5x + -8

Combine like terms: 4x + -6x = -2x
3 + -2x = 5x + -8

Reorder the terms:
3 + -2x = -8 + 5x

Solving
3 + -2x = -8 + 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.
3 + -2x + -5x = -8 + 5x + -5x

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

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

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

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

Combine like terms: -8 + -3 = -11
-7x = -11

Divide each side by '-7'.
x = 1.571428571

Simplifying
x = 1.571428571

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