4(2x-9)-7=12-5(x-2)

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Solution for 4(2x-9)-7=12-5(x-2) equation:


Simplifying
4(2x + -9) + -7 = 12 + -5(x + -2)

Reorder the terms:
4(-9 + 2x) + -7 = 12 + -5(x + -2)
(-9 * 4 + 2x * 4) + -7 = 12 + -5(x + -2)
(-36 + 8x) + -7 = 12 + -5(x + -2)

Reorder the terms:
-36 + -7 + 8x = 12 + -5(x + -2)

Combine like terms: -36 + -7 = -43
-43 + 8x = 12 + -5(x + -2)

Reorder the terms:
-43 + 8x = 12 + -5(-2 + x)
-43 + 8x = 12 + (-2 * -5 + x * -5)
-43 + 8x = 12 + (10 + -5x)

Combine like terms: 12 + 10 = 22
-43 + 8x = 22 + -5x

Solving
-43 + 8x = 22 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-43 + 8x + 5x = 22 + -5x + 5x

Combine like terms: 8x + 5x = 13x
-43 + 13x = 22 + -5x + 5x

Combine like terms: -5x + 5x = 0
-43 + 13x = 22 + 0
-43 + 13x = 22

Add '43' to each side of the equation.
-43 + 43 + 13x = 22 + 43

Combine like terms: -43 + 43 = 0
0 + 13x = 22 + 43
13x = 22 + 43

Combine like terms: 22 + 43 = 65
13x = 65

Divide each side by '13'.
x = 5

Simplifying
x = 5

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