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

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


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

Reorder the terms:
3(-4 + 8x) = 8(x + 3) + -4
(-4 * 3 + 8x * 3) = 8(x + 3) + -4
(-12 + 24x) = 8(x + 3) + -4

Reorder the terms:
-12 + 24x = 8(3 + x) + -4
-12 + 24x = (3 * 8 + x * 8) + -4
-12 + 24x = (24 + 8x) + -4

Reorder the terms:
-12 + 24x = 24 + -4 + 8x

Combine like terms: 24 + -4 = 20
-12 + 24x = 20 + 8x

Solving
-12 + 24x = 20 + 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.
-12 + 24x + -8x = 20 + 8x + -8x

Combine like terms: 24x + -8x = 16x
-12 + 16x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-12 + 16x = 20 + 0
-12 + 16x = 20

Add '12' to each side of the equation.
-12 + 12 + 16x = 20 + 12

Combine like terms: -12 + 12 = 0
0 + 16x = 20 + 12
16x = 20 + 12

Combine like terms: 20 + 12 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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