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

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


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

Reorder the terms:
8x + 4(-3 + 4x) = 4(3x + 4) + -8
8x + (-3 * 4 + 4x * 4) = 4(3x + 4) + -8
8x + (-12 + 16x) = 4(3x + 4) + -8

Reorder the terms:
-12 + 8x + 16x = 4(3x + 4) + -8

Combine like terms: 8x + 16x = 24x
-12 + 24x = 4(3x + 4) + -8

Reorder the terms:
-12 + 24x = 4(4 + 3x) + -8
-12 + 24x = (4 * 4 + 3x * 4) + -8
-12 + 24x = (16 + 12x) + -8

Reorder the terms:
-12 + 24x = 16 + -8 + 12x

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

Solving
-12 + 24x = 8 + 12x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: 8 + 12 = 20
12x = 20

Divide each side by '12'.
x = 1.666666667

Simplifying
x = 1.666666667

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