5(3x-9)-7=5(x-2)+28

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Solution for 5(3x-9)-7=5(x-2)+28 equation:


Simplifying
5(3x + -9) + -7 = 5(x + -2) + 28

Reorder the terms:
5(-9 + 3x) + -7 = 5(x + -2) + 28
(-9 * 5 + 3x * 5) + -7 = 5(x + -2) + 28
(-45 + 15x) + -7 = 5(x + -2) + 28

Reorder the terms:
-45 + -7 + 15x = 5(x + -2) + 28

Combine like terms: -45 + -7 = -52
-52 + 15x = 5(x + -2) + 28

Reorder the terms:
-52 + 15x = 5(-2 + x) + 28
-52 + 15x = (-2 * 5 + x * 5) + 28
-52 + 15x = (-10 + 5x) + 28

Reorder the terms:
-52 + 15x = -10 + 28 + 5x

Combine like terms: -10 + 28 = 18
-52 + 15x = 18 + 5x

Solving
-52 + 15x = 18 + 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.
-52 + 15x + -5x = 18 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-52 + 10x = 18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-52 + 10x = 18 + 0
-52 + 10x = 18

Add '52' to each side of the equation.
-52 + 52 + 10x = 18 + 52

Combine like terms: -52 + 52 = 0
0 + 10x = 18 + 52
10x = 18 + 52

Combine like terms: 18 + 52 = 70
10x = 70

Divide each side by '10'.
x = 7

Simplifying
x = 7

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