5(3x-3)=8x-36

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Solution for 5(3x-3)=8x-36 equation:


Simplifying
5(3x + -3) = 8x + -36

Reorder the terms:
5(-3 + 3x) = 8x + -36
(-3 * 5 + 3x * 5) = 8x + -36
(-15 + 15x) = 8x + -36

Reorder the terms:
-15 + 15x = -36 + 8x

Solving
-15 + 15x = -36 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 15x + -8x = -36 + 8x + -8x

Combine like terms: 15x + -8x = 7x
-15 + 7x = -36 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + 7x = -36 + 0
-15 + 7x = -36

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

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

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

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

Simplifying
x = -3

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