5(x-6)+3=2(x-6)

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Solution for 5(x-6)+3=2(x-6) equation:


Simplifying
5(x + -6) + 3 = 2(x + -6)

Reorder the terms:
5(-6 + x) + 3 = 2(x + -6)
(-6 * 5 + x * 5) + 3 = 2(x + -6)
(-30 + 5x) + 3 = 2(x + -6)

Reorder the terms:
-30 + 3 + 5x = 2(x + -6)

Combine like terms: -30 + 3 = -27
-27 + 5x = 2(x + -6)

Reorder the terms:
-27 + 5x = 2(-6 + x)
-27 + 5x = (-6 * 2 + x * 2)
-27 + 5x = (-12 + 2x)

Solving
-27 + 5x = -12 + 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.
-27 + 5x + -2x = -12 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-27 + 3x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
-27 + 3x = -12 + 0
-27 + 3x = -12

Add '27' to each side of the equation.
-27 + 27 + 3x = -12 + 27

Combine like terms: -27 + 27 = 0
0 + 3x = -12 + 27
3x = -12 + 27

Combine like terms: -12 + 27 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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