-6=7(2x-4)+8

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Solution for -6=7(2x-4)+8 equation:


Simplifying
-6 = 7(2x + -4) + 8

Reorder the terms:
-6 = 7(-4 + 2x) + 8
-6 = (-4 * 7 + 2x * 7) + 8
-6 = (-28 + 14x) + 8

Reorder the terms:
-6 = -28 + 8 + 14x

Combine like terms: -28 + 8 = -20
-6 = -20 + 14x

Solving
-6 = -20 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-6 + -14x = -20 + 14x + -14x

Combine like terms: 14x + -14x = 0
-6 + -14x = -20 + 0
-6 + -14x = -20

Add '6' to each side of the equation.
-6 + 6 + -14x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = -20 + 6
-14x = -20 + 6

Combine like terms: -20 + 6 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1

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