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

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


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

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

Reorder the terms:
-28 + 6 + -7x + 2x = 7x + 7

Combine like terms: -28 + 6 = -22
-22 + -7x + 2x = 7x + 7

Combine like terms: -7x + 2x = -5x
-22 + -5x = 7x + 7

Reorder the terms:
-22 + -5x = 7 + 7x

Solving
-22 + -5x = 7 + 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.
-22 + -5x + -7x = 7 + 7x + -7x

Combine like terms: -5x + -7x = -12x
-22 + -12x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + -12x = 7 + 0
-22 + -12x = 7

Add '22' to each side of the equation.
-22 + 22 + -12x = 7 + 22

Combine like terms: -22 + 22 = 0
0 + -12x = 7 + 22
-12x = 7 + 22

Combine like terms: 7 + 22 = 29
-12x = 29

Divide each side by '-12'.
x = -2.416666667

Simplifying
x = -2.416666667

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