9(x-4)-7x=15x-10

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Solution for 9(x-4)-7x=15x-10 equation:


Simplifying
9(x + -4) + -7x = 15x + -10

Reorder the terms:
9(-4 + x) + -7x = 15x + -10
(-4 * 9 + x * 9) + -7x = 15x + -10
(-36 + 9x) + -7x = 15x + -10

Combine like terms: 9x + -7x = 2x
-36 + 2x = 15x + -10

Reorder the terms:
-36 + 2x = -10 + 15x

Solving
-36 + 2x = -10 + 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.
-36 + 2x + -15x = -10 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-36 + -13x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-36 + -13x = -10 + 0
-36 + -13x = -10

Add '36' to each side of the equation.
-36 + 36 + -13x = -10 + 36

Combine like terms: -36 + 36 = 0
0 + -13x = -10 + 36
-13x = -10 + 36

Combine like terms: -10 + 36 = 26
-13x = 26

Divide each side by '-13'.
x = -2

Simplifying
x = -2

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