9x-3(8x-9)=7(10+4x)

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Solution for 9x-3(8x-9)=7(10+4x) equation: 


Simplifying
9x + -3(8x + -9) = 7(10 + 4x)

Reorder the terms:
9x + -3(-9 + 8x) = 7(10 + 4x)
9x + (-9 * -3 + 8x * -3) = 7(10 + 4x)
9x + (27 + -24x) = 7(10 + 4x)

Reorder the terms:
27 + 9x + -24x = 7(10 + 4x)

Combine like terms: 9x + -24x = -15x
27 + -15x = 7(10 + 4x)
27 + -15x = (10 * 7 + 4x * 7)
27 + -15x = (70 + 28x)

Solving
27 + -15x = 70 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
27 + -15x + -28x = 70 + 28x + -28x

Combine like terms: -15x + -28x = -43x
27 + -43x = 70 + 28x + -28x

Combine like terms: 28x + -28x = 0
27 + -43x = 70 + 0
27 + -43x = 70

Add '-27' to each side of the equation.
27 + -27 + -43x = 70 + -27

Combine like terms: 27 + -27 = 0
0 + -43x = 70 + -27
-43x = 70 + -27

Combine like terms: 70 + -27 = 43
-43x = 43

Divide each side by '-43'.
x = -1

Simplifying
x = -1

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