5x-36=3(4x-5)

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Solution for 5x-36=3(4x-5) equation:


Simplifying
5x + -36 = 3(4x + -5)

Reorder the terms:
-36 + 5x = 3(4x + -5)

Reorder the terms:
-36 + 5x = 3(-5 + 4x)
-36 + 5x = (-5 * 3 + 4x * 3)
-36 + 5x = (-15 + 12x)

Solving
-36 + 5x = -15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-36 + 5x + -12x = -15 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-36 + -7x = -15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-36 + -7x = -15 + 0
-36 + -7x = -15

Add '36' to each side of the equation.
-36 + 36 + -7x = -15 + 36

Combine like terms: -36 + 36 = 0
0 + -7x = -15 + 36
-7x = -15 + 36

Combine like terms: -15 + 36 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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