9(4x-3)-5(4-3x)=-x-7

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Solution for 9(4x-3)-5(4-3x)=-x-7 equation:


Simplifying
9(4x + -3) + -5(4 + -3x) = -1x + -7

Reorder the terms:
9(-3 + 4x) + -5(4 + -3x) = -1x + -7
(-3 * 9 + 4x * 9) + -5(4 + -3x) = -1x + -7
(-27 + 36x) + -5(4 + -3x) = -1x + -7
-27 + 36x + (4 * -5 + -3x * -5) = -1x + -7
-27 + 36x + (-20 + 15x) = -1x + -7

Reorder the terms:
-27 + -20 + 36x + 15x = -1x + -7

Combine like terms: -27 + -20 = -47
-47 + 36x + 15x = -1x + -7

Combine like terms: 36x + 15x = 51x
-47 + 51x = -1x + -7

Reorder the terms:
-47 + 51x = -7 + -1x

Solving
-47 + 51x = -7 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-47 + 51x + x = -7 + -1x + x

Combine like terms: 51x + x = 52x
-47 + 52x = -7 + -1x + x

Combine like terms: -1x + x = 0
-47 + 52x = -7 + 0
-47 + 52x = -7

Add '47' to each side of the equation.
-47 + 47 + 52x = -7 + 47

Combine like terms: -47 + 47 = 0
0 + 52x = -7 + 47
52x = -7 + 47

Combine like terms: -7 + 47 = 40
52x = 40

Divide each side by '52'.
x = 0.7692307692

Simplifying
x = 0.7692307692

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