5(x-6)-7(x-2)=-18

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Solution for 5(x-6)-7(x-2)=-18 equation:


Simplifying
5(x + -6) + -7(x + -2) = -18

Reorder the terms:
5(-6 + x) + -7(x + -2) = -18
(-6 * 5 + x * 5) + -7(x + -2) = -18
(-30 + 5x) + -7(x + -2) = -18

Reorder the terms:
-30 + 5x + -7(-2 + x) = -18
-30 + 5x + (-2 * -7 + x * -7) = -18
-30 + 5x + (14 + -7x) = -18

Reorder the terms:
-30 + 14 + 5x + -7x = -18

Combine like terms: -30 + 14 = -16
-16 + 5x + -7x = -18

Combine like terms: 5x + -7x = -2x
-16 + -2x = -18

Solving
-16 + -2x = -18

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + -2x = -18 + 16

Combine like terms: -16 + 16 = 0
0 + -2x = -18 + 16
-2x = -18 + 16

Combine like terms: -18 + 16 = -2
-2x = -2

Divide each side by '-2'.
x = 1

Simplifying
x = 1

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