-10=5(x-1)-3x+1

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Solution for -10=5(x-1)-3x+1 equation:


Simplifying
-10 = 5(x + -1) + -3x + 1

Reorder the terms:
-10 = 5(-1 + x) + -3x + 1
-10 = (-1 * 5 + x * 5) + -3x + 1
-10 = (-5 + 5x) + -3x + 1

Reorder the terms:
-10 = -5 + 1 + 5x + -3x

Combine like terms: -5 + 1 = -4
-10 = -4 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-10 = -4 + 2x

Solving
-10 = -4 + 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.
-10 + -2x = -4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + -2x = -4 + 0
-10 + -2x = -4

Add '10' to each side of the equation.
-10 + 10 + -2x = -4 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = -4 + 10
-2x = -4 + 10

Combine like terms: -4 + 10 = 6
-2x = 6

Divide each side by '-2'.
x = -3

Simplifying
x = -3

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