24x+4(x-2)=10(x+2)+8

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Solution for 24x+4(x-2)=10(x+2)+8 equation: 


Simplifying
24x + 4(x + -2) = 10(x + 2) + 8

Reorder the terms:
24x + 4(-2 + x) = 10(x + 2) + 8
24x + (-2 * 4 + x * 4) = 10(x + 2) + 8
24x + (-8 + 4x) = 10(x + 2) + 8

Reorder the terms:
-8 + 24x + 4x = 10(x + 2) + 8

Combine like terms: 24x + 4x = 28x
-8 + 28x = 10(x + 2) + 8

Reorder the terms:
-8 + 28x = 10(2 + x) + 8
-8 + 28x = (2 * 10 + x * 10) + 8
-8 + 28x = (20 + 10x) + 8

Reorder the terms:
-8 + 28x = 20 + 8 + 10x

Combine like terms: 20 + 8 = 28
-8 + 28x = 28 + 10x

Solving
-8 + 28x = 28 + 10x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-10x' to each side of the equation.
-8 + 28x + -10x = 28 + 10x + -10x

Combine like terms: 28x + -10x = 18x
-8 + 18x = 28 + 10x + -10x

Combine like terms: 10x + -10x = 0
-8 + 18x = 28 + 0
-8 + 18x = 28

Add '8' to each side of the equation.
-8 + 8 + 18x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 18x = 28 + 8
18x = 28 + 8

Combine like terms: 28 + 8 = 36
18x = 36

Divide each side by '18'.
x = 2

Simplifying
x = 2

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