7(x+2)=-2(2x-3)+x

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Solution for 7(x+2)=-2(2x-3)+x equation:


Simplifying
7(x + 2) = -2(2x + -3) + x

Reorder the terms:
7(2 + x) = -2(2x + -3) + x
(2 * 7 + x * 7) = -2(2x + -3) + x
(14 + 7x) = -2(2x + -3) + x

Reorder the terms:
14 + 7x = -2(-3 + 2x) + x
14 + 7x = (-3 * -2 + 2x * -2) + x
14 + 7x = (6 + -4x) + x

Combine like terms: -4x + x = -3x
14 + 7x = 6 + -3x

Solving
14 + 7x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + 7x + 3x = 6 + -3x + 3x

Combine like terms: 7x + 3x = 10x
14 + 10x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 10x = 6 + 0
14 + 10x = 6

Add '-14' to each side of the equation.
14 + -14 + 10x = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 10x = 6 + -14
10x = 6 + -14

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

Divide each side by '10'.
x = -0.8

Simplifying
x = -0.8

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