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

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


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

Reorder the terms:
2(-7 + x) = -6x + 18
(-7 * 2 + x * 2) = -6x + 18
(-14 + 2x) = -6x + 18

Reorder the terms:
-14 + 2x = 18 + -6x

Solving
-14 + 2x = 18 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-14 + 2x + 6x = 18 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-14 + 8x = 18 + -6x + 6x

Combine like terms: -6x + 6x = 0
-14 + 8x = 18 + 0
-14 + 8x = 18

Add '14' to each side of the equation.
-14 + 14 + 8x = 18 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 18 + 14
8x = 18 + 14

Combine like terms: 18 + 14 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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