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

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


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

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

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

Remove parenthesis around (-3 + x)
3 + -3x + -3 + x = 6x + 7

Reorder the terms:
3 + -3 + -3x + x = 6x + 7

Combine like terms: 3 + -3 = 0
0 + -3x + x = 6x + 7
-3x + x = 6x + 7

Combine like terms: -3x + x = -2x
-2x = 6x + 7

Reorder the terms:
-2x = 7 + 6x

Solving
-2x = 7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2x + -6x = 7 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-8x = 7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-8x = 7 + 0
-8x = 7

Divide each side by '-8'.
x = -0.875

Simplifying
x = -0.875

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