9x-2(x-3)=15x+7

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Solution for 9x-2(x-3)=15x+7 equation:


Simplifying
9x + -2(x + -3) = 15x + 7

Reorder the terms:
9x + -2(-3 + x) = 15x + 7
9x + (-3 * -2 + x * -2) = 15x + 7
9x + (6 + -2x) = 15x + 7

Reorder the terms:
6 + 9x + -2x = 15x + 7

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

Reorder the terms:
6 + 7x = 7 + 15x

Solving
6 + 7x = 7 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
6 + 7x + -15x = 7 + 15x + -15x

Combine like terms: 7x + -15x = -8x
6 + -8x = 7 + 15x + -15x

Combine like terms: 15x + -15x = 0
6 + -8x = 7 + 0
6 + -8x = 7

Add '-6' to each side of the equation.
6 + -6 + -8x = 7 + -6

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

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

Divide each side by '-8'.
x = -0.125

Simplifying
x = -0.125

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