3(x-7)+20=12+2(x-3)

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Solution for 3(x-7)+20=12+2(x-3) equation:


Simplifying
3(x + -7) + 20 = 12 + 2(x + -3)

Reorder the terms:
3(-7 + x) + 20 = 12 + 2(x + -3)
(-7 * 3 + x * 3) + 20 = 12 + 2(x + -3)
(-21 + 3x) + 20 = 12 + 2(x + -3)

Reorder the terms:
-21 + 20 + 3x = 12 + 2(x + -3)

Combine like terms: -21 + 20 = -1
-1 + 3x = 12 + 2(x + -3)

Reorder the terms:
-1 + 3x = 12 + 2(-3 + x)
-1 + 3x = 12 + (-3 * 2 + x * 2)
-1 + 3x = 12 + (-6 + 2x)

Combine like terms: 12 + -6 = 6
-1 + 3x = 6 + 2x

Solving
-1 + 3x = 6 + 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 = 6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + 1x = 6 + 0
-1 + 1x = 6

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

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

Combine like terms: 6 + 1 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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