23x-5(3x-2)=2x+2

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Solution for 23x-5(3x-2)=2x+2 equation:


Simplifying
23x + -5(3x + -2) = 2x + 2

Reorder the terms:
23x + -5(-2 + 3x) = 2x + 2
23x + (-2 * -5 + 3x * -5) = 2x + 2
23x + (10 + -15x) = 2x + 2

Reorder the terms:
10 + 23x + -15x = 2x + 2

Combine like terms: 23x + -15x = 8x
10 + 8x = 2x + 2

Reorder the terms:
10 + 8x = 2 + 2x

Solving
10 + 8x = 2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
10 + 8x + -2x = 2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
10 + 6x = 2 + 2x + -2x

Combine like terms: 2x + -2x = 0
10 + 6x = 2 + 0
10 + 6x = 2

Add '-10' to each side of the equation.
10 + -10 + 6x = 2 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = 2 + -10
6x = 2 + -10

Combine like terms: 2 + -10 = -8
6x = -8

Divide each side by '6'.
x = -1.333333333

Simplifying
x = -1.333333333

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