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

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


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

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

Reorder the terms:
-4 + 3x = 4(8 + 4x)
-4 + 3x = (8 * 4 + 4x * 4)
-4 + 3x = (32 + 16x)

Solving
-4 + 3x = 32 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-4 + 3x + -16x = 32 + 16x + -16x

Combine like terms: 3x + -16x = -13x
-4 + -13x = 32 + 16x + -16x

Combine like terms: 16x + -16x = 0
-4 + -13x = 32 + 0
-4 + -13x = 32

Add '4' to each side of the equation.
-4 + 4 + -13x = 32 + 4

Combine like terms: -4 + 4 = 0
0 + -13x = 32 + 4
-13x = 32 + 4

Combine like terms: 32 + 4 = 36
-13x = 36

Divide each side by '-13'.
x = -2.769230769

Simplifying
x = -2.769230769

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