5x+7=8x-(x+1)

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Solution for 5x+7=8x-(x+1) equation:


Simplifying
5x + 7 = 8x + -1(x + 1)

Reorder the terms:
7 + 5x = 8x + -1(x + 1)

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

Reorder the terms:
7 + 5x = -1 + 8x + -1x

Combine like terms: 8x + -1x = 7x
7 + 5x = -1 + 7x

Solving
7 + 5x = -1 + 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 + 5x + -7x = -1 + 7x + -7x

Combine like terms: 5x + -7x = -2x
7 + -2x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -2x = -1 + 0
7 + -2x = -1

Add '-7' to each side of the equation.
7 + -7 + -2x = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -1 + -7
-2x = -1 + -7

Combine like terms: -1 + -7 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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