3(5x-6)+9=13x+7

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Solution for 3(5x-6)+9=13x+7 equation:


Simplifying
3(5x + -6) + 9 = 13x + 7

Reorder the terms:
3(-6 + 5x) + 9 = 13x + 7
(-6 * 3 + 5x * 3) + 9 = 13x + 7
(-18 + 15x) + 9 = 13x + 7

Reorder the terms:
-18 + 9 + 15x = 13x + 7

Combine like terms: -18 + 9 = -9
-9 + 15x = 13x + 7

Reorder the terms:
-9 + 15x = 7 + 13x

Solving
-9 + 15x = 7 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
-9 + 15x + -13x = 7 + 13x + -13x

Combine like terms: 15x + -13x = 2x
-9 + 2x = 7 + 13x + -13x

Combine like terms: 13x + -13x = 0
-9 + 2x = 7 + 0
-9 + 2x = 7

Add '9' to each side of the equation.
-9 + 9 + 2x = 7 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 7 + 9
2x = 7 + 9

Combine like terms: 7 + 9 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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