5(x-2)+(-9)=-7(1-x)

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Solution for 5(x-2)+(-9)=-7(1-x) equation:


Simplifying
5(x + -2) + (-9) = -7(1 + -1x)

Reorder the terms:
5(-2 + x) + (-9) = -7(1 + -1x)
(-2 * 5 + x * 5) + (-9) = -7(1 + -1x)
(-10 + 5x) + (-9) = -7(1 + -1x)
-10 + 5x + -9 = -7(1 + -1x)

Reorder the terms:
-10 + -9 + 5x = -7(1 + -1x)

Combine like terms: -10 + -9 = -19
-19 + 5x = -7(1 + -1x)
-19 + 5x = (1 * -7 + -1x * -7)
-19 + 5x = (-7 + 7x)

Solving
-19 + 5x = -7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-19 + 5x + -7x = -7 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-19 + -2x = -7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-19 + -2x = -7 + 0
-19 + -2x = -7

Add '19' to each side of the equation.
-19 + 19 + -2x = -7 + 19

Combine like terms: -19 + 19 = 0
0 + -2x = -7 + 19
-2x = -7 + 19

Combine like terms: -7 + 19 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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