x+10-4x=22-7x

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Solution for x+10-4x=22-7x equation:


Simplifying
x + 10 + -4x = 22 + -7x

Reorder the terms:
10 + x + -4x = 22 + -7x

Combine like terms: x + -4x = -3x
10 + -3x = 22 + -7x

Solving
10 + -3x = 22 + -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.
10 + -3x + 7x = 22 + -7x + 7x

Combine like terms: -3x + 7x = 4x
10 + 4x = 22 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 4x = 22 + 0
10 + 4x = 22

Add '-10' to each side of the equation.
10 + -10 + 4x = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 22 + -10
4x = 22 + -10

Combine like terms: 22 + -10 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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