8x-3x+4-2x=7x+3x-10

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Solution for 8x-3x+4-2x=7x+3x-10 equation:


Simplifying
8x + -3x + 4 + -2x = 7x + 3x + -10

Reorder the terms:
4 + 8x + -3x + -2x = 7x + 3x + -10

Combine like terms: 8x + -3x = 5x
4 + 5x + -2x = 7x + 3x + -10

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

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

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

Solving
4 + 3x = -10 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 3x + -10x = -10 + 10x + -10x

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

Combine like terms: 10x + -10x = 0
4 + -7x = -10 + 0
4 + -7x = -10

Add '-4' to each side of the equation.
4 + -4 + -7x = -10 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -10 + -4
-7x = -10 + -4

Combine like terms: -10 + -4 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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