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

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


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

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

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

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

Reorder the terms:
1 + 3x = 5 + 6 + -2x

Combine like terms: 5 + 6 = 11
1 + 3x = 11 + -2x

Solving
1 + 3x = 11 + -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 + 3x + 2x = 11 + -2x + 2x

Combine like terms: 3x + 2x = 5x
1 + 5x = 11 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 5x = 11 + 0
1 + 5x = 11

Add '-1' to each side of the equation.
1 + -1 + 5x = 11 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 11 + -1
5x = 11 + -1

Combine like terms: 11 + -1 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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