9(3x-2)-7(4x-7)=2(x+20)

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Solution for 9(3x-2)-7(4x-7)=2(x+20) equation:


Simplifying
9(3x + -2) + -7(4x + -7) = 2(x + 20)

Reorder the terms:
9(-2 + 3x) + -7(4x + -7) = 2(x + 20)
(-2 * 9 + 3x * 9) + -7(4x + -7) = 2(x + 20)
(-18 + 27x) + -7(4x + -7) = 2(x + 20)

Reorder the terms:
-18 + 27x + -7(-7 + 4x) = 2(x + 20)
-18 + 27x + (-7 * -7 + 4x * -7) = 2(x + 20)
-18 + 27x + (49 + -28x) = 2(x + 20)

Reorder the terms:
-18 + 49 + 27x + -28x = 2(x + 20)

Combine like terms: -18 + 49 = 31
31 + 27x + -28x = 2(x + 20)

Combine like terms: 27x + -28x = -1x
31 + -1x = 2(x + 20)

Reorder the terms:
31 + -1x = 2(20 + x)
31 + -1x = (20 * 2 + x * 2)
31 + -1x = (40 + 2x)

Solving
31 + -1x = 40 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
31 + -1x + -2x = 40 + 2x + -2x

Combine like terms: -1x + -2x = -3x
31 + -3x = 40 + 2x + -2x

Combine like terms: 2x + -2x = 0
31 + -3x = 40 + 0
31 + -3x = 40

Add '-31' to each side of the equation.
31 + -31 + -3x = 40 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = 40 + -31
-3x = 40 + -31

Combine like terms: 40 + -31 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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