4x+5=5(2x-1)-2

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


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

Reorder the terms:
5 + 4x = 5(2x + -1) + -2

Reorder the terms:
5 + 4x = 5(-1 + 2x) + -2
5 + 4x = (-1 * 5 + 2x * 5) + -2
5 + 4x = (-5 + 10x) + -2

Reorder the terms:
5 + 4x = -5 + -2 + 10x

Combine like terms: -5 + -2 = -7
5 + 4x = -7 + 10x

Solving
5 + 4x = -7 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
5 + 4x + -10x = -7 + 10x + -10x

Combine like terms: 4x + -10x = -6x
5 + -6x = -7 + 10x + -10x

Combine like terms: 10x + -10x = 0
5 + -6x = -7 + 0
5 + -6x = -7

Add '-5' to each side of the equation.
5 + -5 + -6x = -7 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = -7 + -5
-6x = -7 + -5

Combine like terms: -7 + -5 = -12
-6x = -12

Divide each side by '-6'.
x = 2

Simplifying
x = 2

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