3(x-6)+5=5(x-7)

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Solution for 3(x-6)+5=5(x-7) equation:


Simplifying
3(x + -6) + 5 = 5(x + -7)

Reorder the terms:
3(-6 + x) + 5 = 5(x + -7)
(-6 * 3 + x * 3) + 5 = 5(x + -7)
(-18 + 3x) + 5 = 5(x + -7)

Reorder the terms:
-18 + 5 + 3x = 5(x + -7)

Combine like terms: -18 + 5 = -13
-13 + 3x = 5(x + -7)

Reorder the terms:
-13 + 3x = 5(-7 + x)
-13 + 3x = (-7 * 5 + x * 5)
-13 + 3x = (-35 + 5x)

Solving
-13 + 3x = -35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-13 + 3x + -5x = -35 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-13 + -2x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-13 + -2x = -35 + 0
-13 + -2x = -35

Add '13' to each side of the equation.
-13 + 13 + -2x = -35 + 13

Combine like terms: -13 + 13 = 0
0 + -2x = -35 + 13
-2x = -35 + 13

Combine like terms: -35 + 13 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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