5(3x-6)-3=5(x-3)+22

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Solution for 5(3x-6)-3=5(x-3)+22 equation:


Simplifying
5(3x + -6) + -3 = 5(x + -3) + 22

Reorder the terms:
5(-6 + 3x) + -3 = 5(x + -3) + 22
(-6 * 5 + 3x * 5) + -3 = 5(x + -3) + 22
(-30 + 15x) + -3 = 5(x + -3) + 22

Reorder the terms:
-30 + -3 + 15x = 5(x + -3) + 22

Combine like terms: -30 + -3 = -33
-33 + 15x = 5(x + -3) + 22

Reorder the terms:
-33 + 15x = 5(-3 + x) + 22
-33 + 15x = (-3 * 5 + x * 5) + 22
-33 + 15x = (-15 + 5x) + 22

Reorder the terms:
-33 + 15x = -15 + 22 + 5x

Combine like terms: -15 + 22 = 7
-33 + 15x = 7 + 5x

Solving
-33 + 15x = 7 + 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.
-33 + 15x + -5x = 7 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-33 + 10x = 7 + 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + 10x = 7 + 0
-33 + 10x = 7

Add '33' to each side of the equation.
-33 + 33 + 10x = 7 + 33

Combine like terms: -33 + 33 = 0
0 + 10x = 7 + 33
10x = 7 + 33

Combine like terms: 7 + 33 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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