-7(x+1)=x-2+2(3x+1)

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Solution for -7(x+1)=x-2+2(3x+1) equation:


Simplifying
-7(x + 1) = x + -2 + 2(3x + 1)

Reorder the terms:
-7(1 + x) = x + -2 + 2(3x + 1)
(1 * -7 + x * -7) = x + -2 + 2(3x + 1)
(-7 + -7x) = x + -2 + 2(3x + 1)

Reorder the terms:
-7 + -7x = x + -2 + 2(1 + 3x)
-7 + -7x = x + -2 + (1 * 2 + 3x * 2)
-7 + -7x = x + -2 + (2 + 6x)

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

Combine like terms: -2 + 2 = 0
-7 + -7x = 0 + x + 6x
-7 + -7x = x + 6x

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

Solving
-7 + -7x = 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.
-7 + -7x + -7x = 7x + -7x

Combine like terms: -7x + -7x = -14x
-7 + -14x = 7x + -7x

Combine like terms: 7x + -7x = 0
-7 + -14x = 0

Add '7' to each side of the equation.
-7 + 7 + -14x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -14x = 0 + 7
-14x = 0 + 7

Combine like terms: 0 + 7 = 7
-14x = 7

Divide each side by '-14'.
x = -0.5

Simplifying
x = -0.5

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