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

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


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

Reorder the terms:
5(-2 + x) + 6 = 6 + 7x
(-2 * 5 + x * 5) + 6 = 6 + 7x
(-10 + 5x) + 6 = 6 + 7x

Reorder the terms:
-10 + 6 + 5x = 6 + 7x

Combine like terms: -10 + 6 = -4
-4 + 5x = 6 + 7x

Solving
-4 + 5x = 6 + 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.
-4 + 5x + -7x = 6 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-4 + -2x = 6 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -2x = 6 + 0
-4 + -2x = 6

Add '4' to each side of the equation.
-4 + 4 + -2x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 6 + 4
-2x = 6 + 4

Combine like terms: 6 + 4 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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