7(x+1)=-2(7x-2)+6x

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Solution for 7(x+1)=-2(7x-2)+6x equation:


Simplifying
7(x + 1) = -2(7x + -2) + 6x

Reorder the terms:
7(1 + x) = -2(7x + -2) + 6x
(1 * 7 + x * 7) = -2(7x + -2) + 6x
(7 + 7x) = -2(7x + -2) + 6x

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

Combine like terms: -14x + 6x = -8x
7 + 7x = 4 + -8x

Solving
7 + 7x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
7 + 7x + 8x = 4 + -8x + 8x

Combine like terms: 7x + 8x = 15x
7 + 15x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
7 + 15x = 4 + 0
7 + 15x = 4

Add '-7' to each side of the equation.
7 + -7 + 15x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + 15x = 4 + -7
15x = 4 + -7

Combine like terms: 4 + -7 = -3
15x = -3

Divide each side by '15'.
x = -0.2

Simplifying
x = -0.2

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