(-7x)-(3x)+2=(-8x)-(8)

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Solution for (-7x)-(3x)+2=(-8x)-(8) equation: 


Simplifying
(-7x) + -1(3x) + 2 = (-8x) + -1(8)

Remove parenthesis around (3x)
(-7x) + -1 * 3x + 2 = (-8x) + -1(8)

Multiply -1 * 3
(-7x) + -3x + 2 = (-8x) + -1(8)

Reorder the terms:
2 + (-7x) + -3x = (-8x) + -1(8)

Combine like terms: (-7x) + -3x = -10x
2 + -10x = (-8x) + -1(8)

Multiply -1 * 8
2 + -10x = (-8x) + -8

Reorder the terms:
2 + -10x = -8 + (-8x)

Solving
2 + -10x = -8 + (-8x)

Solving for variable 'x'.

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

Add '(8x)' to each side of the equation.
2 + -10x + (8x) = -8 + (-8x) + (8x)

Combine like terms: -10x + (8x) = -2x
2 + -2x = -8 + (-8x) + (8x)

Combine like terms: (-8x) + (8x) = 0
2 + -2x = -8 + 0
2 + -2x = -8

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

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

Combine like terms: -8 + -2 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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