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

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Solution for 2(x-3)=-(x-1)+7 equation:


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

Reorder the terms:
2(-3 + x) = -1(x + -1) + 7
(-3 * 2 + x * 2) = -1(x + -1) + 7
(-6 + 2x) = -1(x + -1) + 7

Reorder the terms:
-6 + 2x = -1(-1 + x) + 7
-6 + 2x = (-1 * -1 + x * -1) + 7
-6 + 2x = (1 + -1x) + 7

Reorder the terms:
-6 + 2x = 1 + 7 + -1x

Combine like terms: 1 + 7 = 8
-6 + 2x = 8 + -1x

Solving
-6 + 2x = 8 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-6 + 2x + x = 8 + -1x + x

Combine like terms: 2x + x = 3x
-6 + 3x = 8 + -1x + x

Combine like terms: -1x + x = 0
-6 + 3x = 8 + 0
-6 + 3x = 8

Add '6' to each side of the equation.
-6 + 6 + 3x = 8 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 8 + 6
3x = 8 + 6

Combine like terms: 8 + 6 = 14
3x = 14

Divide each side by '3'.
x = 4.666666667

Simplifying
x = 4.666666667

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