-5(x+1)=x-1+2(4x+7)

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Solution for -5(x+1)=x-1+2(4x+7) equation:


Simplifying
-5(x + 1) = x + -1 + 2(4x + 7)

Reorder the terms:
-5(1 + x) = x + -1 + 2(4x + 7)
(1 * -5 + x * -5) = x + -1 + 2(4x + 7)
(-5 + -5x) = x + -1 + 2(4x + 7)

Reorder the terms:
-5 + -5x = x + -1 + 2(7 + 4x)
-5 + -5x = x + -1 + (7 * 2 + 4x * 2)
-5 + -5x = x + -1 + (14 + 8x)

Reorder the terms:
-5 + -5x = -1 + 14 + x + 8x

Combine like terms: -1 + 14 = 13
-5 + -5x = 13 + x + 8x

Combine like terms: x + 8x = 9x
-5 + -5x = 13 + 9x

Solving
-5 + -5x = 13 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-5 + -5x + -9x = 13 + 9x + -9x

Combine like terms: -5x + -9x = -14x
-5 + -14x = 13 + 9x + -9x

Combine like terms: 9x + -9x = 0
-5 + -14x = 13 + 0
-5 + -14x = 13

Add '5' to each side of the equation.
-5 + 5 + -14x = 13 + 5

Combine like terms: -5 + 5 = 0
0 + -14x = 13 + 5
-14x = 13 + 5

Combine like terms: 13 + 5 = 18
-14x = 18

Divide each side by '-14'.
x = -1.285714286

Simplifying
x = -1.285714286

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