15-(x+9)=7x-2

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Solution for 15-(x+9)=7x-2 equation:


Simplifying
15 + -1(x + 9) = 7x + -2

Reorder the terms:
15 + -1(9 + x) = 7x + -2
15 + (9 * -1 + x * -1) = 7x + -2
15 + (-9 + -1x) = 7x + -2

Combine like terms: 15 + -9 = 6
6 + -1x = 7x + -2

Reorder the terms:
6 + -1x = -2 + 7x

Solving
6 + -1x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -1x + -7x = -2 + 7x + -7x

Combine like terms: -1x + -7x = -8x
6 + -8x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -8x = -2 + 0
6 + -8x = -2

Add '-6' to each side of the equation.
6 + -6 + -8x = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = -2 + -6
-8x = -2 + -6

Combine like terms: -2 + -6 = -8
-8x = -8

Divide each side by '-8'.
x = 1

Simplifying
x = 1

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