4x-(-x)+1=2(-x)+8

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Solution for 4x-(-x)+1=2(-x)+8 equation:


Simplifying
4x + -1(-1x) + 1 = 2(-1x) + 8

Remove parenthesis around (-1x)
4x + -1 * -1x + 1 = 2(-1x) + 8

Multiply -1 * -1
4x + 1x + 1 = 2(-1x) + 8

Reorder the terms:
1 + 4x + 1x = 2(-1x) + 8

Combine like terms: 4x + 1x = 5x
1 + 5x = 2(-1x) + 8

Remove parenthesis around (-1x)
1 + 5x = 2 * -1x + 8

Multiply 2 * -1
1 + 5x = -2x + 8

Reorder the terms:
1 + 5x = 8 + -2x

Solving
1 + 5x = 8 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
1 + 5x + 2x = 8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
1 + 7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 7x = 8 + 0
1 + 7x = 8

Add '-1' to each side of the equation.
1 + -1 + 7x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 7x = 8 + -1
7x = 8 + -1

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

Divide each side by '7'.
x = 1

Simplifying
x = 1

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