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

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


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

Reorder the terms:
3(-2 + 8x) + 2 = 4(x + 3) + 4x
(-2 * 3 + 8x * 3) + 2 = 4(x + 3) + 4x
(-6 + 24x) + 2 = 4(x + 3) + 4x

Reorder the terms:
-6 + 2 + 24x = 4(x + 3) + 4x

Combine like terms: -6 + 2 = -4
-4 + 24x = 4(x + 3) + 4x

Reorder the terms:
-4 + 24x = 4(3 + x) + 4x
-4 + 24x = (3 * 4 + x * 4) + 4x
-4 + 24x = (12 + 4x) + 4x

Combine like terms: 4x + 4x = 8x
-4 + 24x = 12 + 8x

Solving
-4 + 24x = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + 24x + -8x = 12 + 8x + -8x

Combine like terms: 24x + -8x = 16x
-4 + 16x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + 16x = 12 + 0
-4 + 16x = 12

Add '4' to each side of the equation.
-4 + 4 + 16x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 16x = 12 + 4
16x = 12 + 4

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

Divide each side by '16'.
x = 1

Simplifying
x = 1

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