3x-4+5x+7=4x+2-5x+10

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Solution for 3x-4+5x+7=4x+2-5x+10 equation:


Simplifying
3x + -4 + 5x + 7 = 4x + 2 + -5x + 10

Reorder the terms:
-4 + 7 + 3x + 5x = 4x + 2 + -5x + 10

Combine like terms: -4 + 7 = 3
3 + 3x + 5x = 4x + 2 + -5x + 10

Combine like terms: 3x + 5x = 8x
3 + 8x = 4x + 2 + -5x + 10

Reorder the terms:
3 + 8x = 2 + 10 + 4x + -5x

Combine like terms: 2 + 10 = 12
3 + 8x = 12 + 4x + -5x

Combine like terms: 4x + -5x = -1x
3 + 8x = 12 + -1x

Solving
3 + 8x = 12 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
3 + 8x + x = 12 + -1x + x

Combine like terms: 8x + x = 9x
3 + 9x = 12 + -1x + x

Combine like terms: -1x + x = 0
3 + 9x = 12 + 0
3 + 9x = 12

Add '-3' to each side of the equation.
3 + -3 + 9x = 12 + -3

Combine like terms: 3 + -3 = 0
0 + 9x = 12 + -3
9x = 12 + -3

Combine like terms: 12 + -3 = 9
9x = 9

Divide each side by '9'.
x = 1

Simplifying
x = 1

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