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

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


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

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

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

Combine like terms: -6 + 7 = 1
1 + 6x = 2(x + -5) + 3

Reorder the terms:
1 + 6x = 2(-5 + x) + 3
1 + 6x = (-5 * 2 + x * 2) + 3
1 + 6x = (-10 + 2x) + 3

Reorder the terms:
1 + 6x = -10 + 3 + 2x

Combine like terms: -10 + 3 = -7
1 + 6x = -7 + 2x

Solving
1 + 6x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 6x + -2x = -7 + 2x + -2x

Combine like terms: 6x + -2x = 4x
1 + 4x = -7 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 4x = -7 + 0
1 + 4x = -7

Add '-1' to each side of the equation.
1 + -1 + 4x = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -7 + -1
4x = -7 + -1

Combine like terms: -7 + -1 = -8
4x = -8

Divide each side by '4'.
x = -2

Simplifying
x = -2

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