2(x-3)=7x+24

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Solution for 2(x-3)=7x+24 equation: 


Simplifying
2(x + -3) = 7x + 24

Reorder the terms:
2(-3 + x) = 7x + 24
(-3 * 2 + x * 2) = 7x + 24
(-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 = -5x
-6 + -5x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -5x = 24 + 0
-6 + -5x = 24

Add '6' to each side of the equation.
-6 + 6 + -5x = 24 + 6

Combine like terms: -6 + 6 = 0
0 + -5x = 24 + 6
-5x = 24 + 6

Combine like terms: 24 + 6 = 30
-5x = 30

Divide each side by '-5'.
x = -6

Simplifying
x = -6

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