2(x-3)+11=5(3x-12)

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Solution for 2(x-3)+11=5(3x-12) equation:


Simplifying
2(x + -3) + 11 = 5(3x + -12)

Reorder the terms:
2(-3 + x) + 11 = 5(3x + -12)
(-3 * 2 + x * 2) + 11 = 5(3x + -12)
(-6 + 2x) + 11 = 5(3x + -12)

Reorder the terms:
-6 + 11 + 2x = 5(3x + -12)

Combine like terms: -6 + 11 = 5
5 + 2x = 5(3x + -12)

Reorder the terms:
5 + 2x = 5(-12 + 3x)
5 + 2x = (-12 * 5 + 3x * 5)
5 + 2x = (-60 + 15x)

Solving
5 + 2x = -60 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
5 + 2x + -15x = -60 + 15x + -15x

Combine like terms: 2x + -15x = -13x
5 + -13x = -60 + 15x + -15x

Combine like terms: 15x + -15x = 0
5 + -13x = -60 + 0
5 + -13x = -60

Add '-5' to each side of the equation.
5 + -5 + -13x = -60 + -5

Combine like terms: 5 + -5 = 0
0 + -13x = -60 + -5
-13x = -60 + -5

Combine like terms: -60 + -5 = -65
-13x = -65

Divide each side by '-13'.
x = 5

Simplifying
x = 5

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