7(x+2)-4=8+x-14

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Solution for 7(x+2)-4=8+x-14 equation:


Simplifying
7(x + 2) + -4 = 8 + x + -14

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

Reorder the terms:
14 + -4 + 7x = 8 + x + -14

Combine like terms: 14 + -4 = 10
10 + 7x = 8 + x + -14

Reorder the terms:
10 + 7x = 8 + -14 + x

Combine like terms: 8 + -14 = -6
10 + 7x = -6 + x

Solving
10 + 7x = -6 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
10 + 7x + -1x = -6 + x + -1x

Combine like terms: 7x + -1x = 6x
10 + 6x = -6 + x + -1x

Combine like terms: x + -1x = 0
10 + 6x = -6 + 0
10 + 6x = -6

Add '-10' to each side of the equation.
10 + -10 + 6x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 6x = -6 + -10
6x = -6 + -10

Combine like terms: -6 + -10 = -16
6x = -16

Divide each side by '6'.
x = -2.666666667

Simplifying
x = -2.666666667

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