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

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


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

Reorder the terms:
4(3 + x) + 2(x + -8) = 2x + 4
(3 * 4 + x * 4) + 2(x + -8) = 2x + 4
(12 + 4x) + 2(x + -8) = 2x + 4

Reorder the terms:
12 + 4x + 2(-8 + x) = 2x + 4
12 + 4x + (-8 * 2 + x * 2) = 2x + 4
12 + 4x + (-16 + 2x) = 2x + 4

Reorder the terms:
12 + -16 + 4x + 2x = 2x + 4

Combine like terms: 12 + -16 = -4
-4 + 4x + 2x = 2x + 4

Combine like terms: 4x + 2x = 6x
-4 + 6x = 2x + 4

Reorder the terms:
-4 + 6x = 4 + 2x

Solving
-4 + 6x = 4 + 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.
-4 + 6x + -2x = 4 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-4 + 4x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
-4 + 4x = 4 + 0
-4 + 4x = 4

Add '4' to each side of the equation.
-4 + 4 + 4x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 4x = 4 + 4
4x = 4 + 4

Combine like terms: 4 + 4 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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