7x+4+3x+2=2x-6+5x-10

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Solution for 7x+4+3x+2=2x-6+5x-10 equation:


Simplifying
7x + 4 + 3x + 2 = 2x + -6 + 5x + -10

Reorder the terms:
4 + 2 + 7x + 3x = 2x + -6 + 5x + -10

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

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

Reorder the terms:
6 + 10x = -6 + -10 + 2x + 5x

Combine like terms: -6 + -10 = -16
6 + 10x = -16 + 2x + 5x

Combine like terms: 2x + 5x = 7x
6 + 10x = -16 + 7x

Solving
6 + 10x = -16 + 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 + 10x + -7x = -16 + 7x + -7x

Combine like terms: 10x + -7x = 3x
6 + 3x = -16 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + 3x = -16 + 0
6 + 3x = -16

Add '-6' to each side of the equation.
6 + -6 + 3x = -16 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -16 + -6
3x = -16 + -6

Combine like terms: -16 + -6 = -22
3x = -22

Divide each side by '3'.
x = -7.333333333

Simplifying
x = -7.333333333

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