3x+4(x-2)=2x+8

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Solution for 3x+4(x-2)=2x+8 equation:


Simplifying
3x + 4(x + -2) = 2x + 8

Reorder the terms:
3x + 4(-2 + x) = 2x + 8
3x + (-2 * 4 + x * 4) = 2x + 8
3x + (-8 + 4x) = 2x + 8

Reorder the terms:
-8 + 3x + 4x = 2x + 8

Combine like terms: 3x + 4x = 7x
-8 + 7x = 2x + 8

Reorder the terms:
-8 + 7x = 8 + 2x

Solving
-8 + 7x = 8 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-8 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 5x = 8 + 0
-8 + 5x = 8

Add '8' to each side of the equation.
-8 + 8 + 5x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 8 + 8
5x = 8 + 8

Combine like terms: 8 + 8 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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