10x-3x+4=49+3x-x

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Solution for 10x-3x+4=49+3x-x equation:


Simplifying
10x + -3x + 4 = 49 + 3x + -1x

Reorder the terms:
4 + 10x + -3x = 49 + 3x + -1x

Combine like terms: 10x + -3x = 7x
4 + 7x = 49 + 3x + -1x

Combine like terms: 3x + -1x = 2x
4 + 7x = 49 + 2x

Solving
4 + 7x = 49 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
4 + 7x + -2x = 49 + 2x + -2x

Combine like terms: 7x + -2x = 5x
4 + 5x = 49 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + 5x = 49 + 0
4 + 5x = 49

Add '-4' to each side of the equation.
4 + -4 + 5x = 49 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 49 + -4
5x = 49 + -4

Combine like terms: 49 + -4 = 45
5x = 45

Divide each side by '5'.
x = 9

Simplifying
x = 9

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