6x+9+52=13x-9

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Solution for 6x+9+52=13x-9 equation:


Simplifying
6x + 9 + 52 = 13x + -9

Reorder the terms:
9 + 52 + 6x = 13x + -9

Combine like terms: 9 + 52 = 61
61 + 6x = 13x + -9

Reorder the terms:
61 + 6x = -9 + 13x

Solving
61 + 6x = -9 + 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.
61 + 6x + -13x = -9 + 13x + -13x

Combine like terms: 6x + -13x = -7x
61 + -7x = -9 + 13x + -13x

Combine like terms: 13x + -13x = 0
61 + -7x = -9 + 0
61 + -7x = -9

Add '-61' to each side of the equation.
61 + -61 + -7x = -9 + -61

Combine like terms: 61 + -61 = 0
0 + -7x = -9 + -61
-7x = -9 + -61

Combine like terms: -9 + -61 = -70
-7x = -70

Divide each side by '-7'.
x = 10

Simplifying
x = 10

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