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

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


Simplifying
2x + 4x + 3 = 7 + -1x + 10

Reorder the terms:
3 + 2x + 4x = 7 + -1x + 10

Combine like terms: 2x + 4x = 6x
3 + 6x = 7 + -1x + 10

Reorder the terms:
3 + 6x = 7 + 10 + -1x

Combine like terms: 7 + 10 = 17
3 + 6x = 17 + -1x

Solving
3 + 6x = 17 + -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 + 6x + x = 17 + -1x + x

Combine like terms: 6x + x = 7x
3 + 7x = 17 + -1x + x

Combine like terms: -1x + x = 0
3 + 7x = 17 + 0
3 + 7x = 17

Add '-3' to each side of the equation.
3 + -3 + 7x = 17 + -3

Combine like terms: 3 + -3 = 0
0 + 7x = 17 + -3
7x = 17 + -3

Combine like terms: 17 + -3 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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