10x+30=7x-6

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Solution for 10x+30=7x-6 equation:


Simplifying
10x + 30 = 7x + -6

Reorder the terms:
30 + 10x = 7x + -6

Reorder the terms:
30 + 10x = -6 + 7x

Solving
30 + 10x = -6 + 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.
30 + 10x + -7x = -6 + 7x + -7x

Combine like terms: 10x + -7x = 3x
30 + 3x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
30 + 3x = -6 + 0
30 + 3x = -6

Add '-30' to each side of the equation.
30 + -30 + 3x = -6 + -30

Combine like terms: 30 + -30 = 0
0 + 3x = -6 + -30
3x = -6 + -30

Combine like terms: -6 + -30 = -36
3x = -36

Divide each side by '3'.
x = -12

Simplifying
x = -12

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