-2x+6=7x+24

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Solution for -2x+6=7x+24 equation:


Simplifying
-2x + 6 = 7x + 24

Reorder the terms:
6 + -2x = 7x + 24

Reorder the terms:
6 + -2x = 24 + 7x

Solving
6 + -2x = 24 + 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 + -2x + -7x = 24 + 7x + -7x

Combine like terms: -2x + -7x = -9x
6 + -9x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -9x = 24 + 0
6 + -9x = 24

Add '-6' to each side of the equation.
6 + -6 + -9x = 24 + -6

Combine like terms: 6 + -6 = 0
0 + -9x = 24 + -6
-9x = 24 + -6

Combine like terms: 24 + -6 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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