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

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


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

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

Combine like terms: 2 + 4 = 6
6 + 3x + -5x = -2 + 7x + -10

Combine like terms: 3x + -5x = -2x
6 + -2x = -2 + 7x + -10

Reorder the terms:
6 + -2x = -2 + -10 + 7x

Combine like terms: -2 + -10 = -12
6 + -2x = -12 + 7x

Solving
6 + -2x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + -2x + -7x = -12 + 7x + -7x

Combine like terms: -2x + -7x = -9x
6 + -9x = -12 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -9x = -12 + 0
6 + -9x = -12

Add '-6' to each side of the equation.
6 + -6 + -9x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = -12 + -6
-9x = -12 + -6

Combine like terms: -12 + -6 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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