-5+6x+6=7(x+3)-14

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Solution for -5+6x+6=7(x+3)-14 equation:


Simplifying
-5 + 6x + 6 = 7(x + 3) + -14

Reorder the terms:
-5 + 6 + 6x = 7(x + 3) + -14

Combine like terms: -5 + 6 = 1
1 + 6x = 7(x + 3) + -14

Reorder the terms:
1 + 6x = 7(3 + x) + -14
1 + 6x = (3 * 7 + x * 7) + -14
1 + 6x = (21 + 7x) + -14

Reorder the terms:
1 + 6x = 21 + -14 + 7x

Combine like terms: 21 + -14 = 7
1 + 6x = 7 + 7x

Solving
1 + 6x = 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.
1 + 6x + -7x = 7 + 7x + -7x

Combine like terms: 6x + -7x = -1x
1 + -1x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
1 + -1x = 7 + 0
1 + -1x = 7

Add '-1' to each side of the equation.
1 + -1 + -1x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 7 + -1
-1x = 7 + -1

Combine like terms: 7 + -1 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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