-102=-5x-7(4x-9)

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Solution for -102=-5x-7(4x-9) equation:


Simplifying
-102 = -5x + -7(4x + -9)

Reorder the terms:
-102 = -5x + -7(-9 + 4x)
-102 = -5x + (-9 * -7 + 4x * -7)
-102 = -5x + (63 + -28x)

Reorder the terms:
-102 = 63 + -5x + -28x

Combine like terms: -5x + -28x = -33x
-102 = 63 + -33x

Solving
-102 = 63 + -33x

Solving for variable 'x'.

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

Add '33x' to each side of the equation.
-102 + 33x = 63 + -33x + 33x

Combine like terms: -33x + 33x = 0
-102 + 33x = 63 + 0
-102 + 33x = 63

Add '102' to each side of the equation.
-102 + 102 + 33x = 63 + 102

Combine like terms: -102 + 102 = 0
0 + 33x = 63 + 102
33x = 63 + 102

Combine like terms: 63 + 102 = 165
33x = 165

Divide each side by '33'.
x = 5

Simplifying
x = 5

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