10-3x+10x-7=5x-2x+8

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Solution for 10-3x+10x-7=5x-2x+8 equation:


Simplifying
10 + -3x + 10x + -7 = 5x + -2x + 8

Reorder the terms:
10 + -7 + -3x + 10x = 5x + -2x + 8

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

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

Reorder the terms:
3 + 7x = 8 + 5x + -2x

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

Solving
3 + 7x = 8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
3 + 7x + -3x = 8 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
3 + 4x = 8 + 0
3 + 4x = 8

Add '-3' to each side of the equation.
3 + -3 + 4x = 8 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 8 + -3
4x = 8 + -3

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

Divide each side by '4'.
x = 1.25

Simplifying
x = 1.25

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