2(x-3)-7=6-5(x+1)

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Solution for 2(x-3)-7=6-5(x+1) equation:


Simplifying
2(x + -3) + -7 = 6 + -5(x + 1)

Reorder the terms:
2(-3 + x) + -7 = 6 + -5(x + 1)
(-3 * 2 + x * 2) + -7 = 6 + -5(x + 1)
(-6 + 2x) + -7 = 6 + -5(x + 1)

Reorder the terms:
-6 + -7 + 2x = 6 + -5(x + 1)

Combine like terms: -6 + -7 = -13
-13 + 2x = 6 + -5(x + 1)

Reorder the terms:
-13 + 2x = 6 + -5(1 + x)
-13 + 2x = 6 + (1 * -5 + x * -5)
-13 + 2x = 6 + (-5 + -5x)

Combine like terms: 6 + -5 = 1
-13 + 2x = 1 + -5x

Solving
-13 + 2x = 1 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-13 + 2x + 5x = 1 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-13 + 7x = 1 + -5x + 5x

Combine like terms: -5x + 5x = 0
-13 + 7x = 1 + 0
-13 + 7x = 1

Add '13' to each side of the equation.
-13 + 13 + 7x = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 7x = 1 + 13
7x = 1 + 13

Combine like terms: 1 + 13 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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