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

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


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

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

Combine like terms: 10 + 3 = 13
13 + -3x = 1 + x

Solving
13 + -3x = 1 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -3x + -1x = 1 + x + -1x

Combine like terms: -3x + -1x = -4x
13 + -4x = 1 + x + -1x

Combine like terms: x + -1x = 0
13 + -4x = 1 + 0
13 + -4x = 1

Add '-13' to each side of the equation.
13 + -13 + -4x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 1 + -13
-4x = 1 + -13

Combine like terms: 1 + -13 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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