3+2x+(3x-4)=2x+12-(x-7)

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Solution for 3+2x+(3x-4)=2x+12-(x-7) equation:


Simplifying
3 + 2x + (3x + -4) = 2x + 12 + -1(x + -7)

Reorder the terms:
3 + 2x + (-4 + 3x) = 2x + 12 + -1(x + -7)

Remove parenthesis around (-4 + 3x)
3 + 2x + -4 + 3x = 2x + 12 + -1(x + -7)

Reorder the terms:
3 + -4 + 2x + 3x = 2x + 12 + -1(x + -7)

Combine like terms: 3 + -4 = -1
-1 + 2x + 3x = 2x + 12 + -1(x + -7)

Combine like terms: 2x + 3x = 5x
-1 + 5x = 2x + 12 + -1(x + -7)

Reorder the terms:
-1 + 5x = 2x + 12 + -1(-7 + x)
-1 + 5x = 2x + 12 + (-7 * -1 + x * -1)
-1 + 5x = 2x + 12 + (7 + -1x)

Reorder the terms:
-1 + 5x = 12 + 7 + 2x + -1x

Combine like terms: 12 + 7 = 19
-1 + 5x = 19 + 2x + -1x

Combine like terms: 2x + -1x = 1x
-1 + 5x = 19 + 1x

Solving
-1 + 5x = 19 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1 + 5x + -1x = 19 + 1x + -1x

Combine like terms: 5x + -1x = 4x
-1 + 4x = 19 + 1x + -1x

Combine like terms: 1x + -1x = 0
-1 + 4x = 19 + 0
-1 + 4x = 19

Add '1' to each side of the equation.
-1 + 1 + 4x = 19 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 19 + 1
4x = 19 + 1

Combine like terms: 19 + 1 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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