7-3(x-1)=6+x

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Solution for 7-3(x-1)=6+x equation: 


Simplifying
7 + -3(x + -1) = 6 + x

Reorder the terms:
7 + -3(-1 + x) = 6 + x
7 + (-1 * -3 + x * -3) = 6 + x
7 + (3 + -3x) = 6 + x

Combine like terms: 7 + 3 = 10
10 + -3x = 6 + x

Solving
10 + -3x = 6 + 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.
10 + -3x + -1x = 6 + x + -1x

Combine like terms: -3x + -1x = -4x
10 + -4x = 6 + x + -1x

Combine like terms: x + -1x = 0
10 + -4x = 6 + 0
10 + -4x = 6

Add '-10' to each side of the equation.
10 + -10 + -4x = 6 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 6 + -10
-4x = 6 + -10

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

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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