5(x-6)-2=2x-5

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Solution for 5(x-6)-2=2x-5 equation:


Simplifying
5(x + -6) + -2 = 2x + -5

Reorder the terms:
5(-6 + x) + -2 = 2x + -5
(-6 * 5 + x * 5) + -2 = 2x + -5
(-30 + 5x) + -2 = 2x + -5

Reorder the terms:
-30 + -2 + 5x = 2x + -5

Combine like terms: -30 + -2 = -32
-32 + 5x = 2x + -5

Reorder the terms:
-32 + 5x = -5 + 2x

Solving
-32 + 5x = -5 + 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.
-32 + 5x + -2x = -5 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-32 + 3x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-32 + 3x = -5 + 0
-32 + 3x = -5

Add '32' to each side of the equation.
-32 + 32 + 3x = -5 + 32

Combine like terms: -32 + 32 = 0
0 + 3x = -5 + 32
3x = -5 + 32

Combine like terms: -5 + 32 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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