2(3X-4)-(2X+2)7=18

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Solution for 2(3X-4)-(2X+2)7=18 equation:


Simplifying
2(3X + -4) + -1(2X + 2) * 7 = 18

Reorder the terms:
2(-4 + 3X) + -1(2X + 2) * 7 = 18
(-4 * 2 + 3X * 2) + -1(2X + 2) * 7 = 18
(-8 + 6X) + -1(2X + 2) * 7 = 18

Reorder the terms:
-8 + 6X + -1(2 + 2X) * 7 = 18

Reorder the terms for easier multiplication:
-8 + 6X + -1 * 7(2 + 2X) = 18

Multiply -1 * 7
-8 + 6X + -7(2 + 2X) = 18
-8 + 6X + (2 * -7 + 2X * -7) = 18
-8 + 6X + (-14 + -14X) = 18

Reorder the terms:
-8 + -14 + 6X + -14X = 18

Combine like terms: -8 + -14 = -22
-22 + 6X + -14X = 18

Combine like terms: 6X + -14X = -8X
-22 + -8X = 18

Solving
-22 + -8X = 18

Solving for variable 'X'.

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

Add '22' to each side of the equation.
-22 + 22 + -8X = 18 + 22

Combine like terms: -22 + 22 = 0
0 + -8X = 18 + 22
-8X = 18 + 22

Combine like terms: 18 + 22 = 40
-8X = 40

Divide each side by '-8'.
X = -5

Simplifying
X = -5

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