4(2x-1)=3(x+4)

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Solution for 4(2x-1)=3(x+4) equation:


Simplifying
4(2x + -1) = 3(x + 4)

Reorder the terms:
4(-1 + 2x) = 3(x + 4)
(-1 * 4 + 2x * 4) = 3(x + 4)
(-4 + 8x) = 3(x + 4)

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

Solving
-4 + 8x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-4 + 8x + -3x = 12 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-4 + 5x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 5x = 12 + 0
-4 + 5x = 12

Add '4' to each side of the equation.
-4 + 4 + 5x = 12 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = 12 + 4
5x = 12 + 4

Combine like terms: 12 + 4 = 16
5x = 16

Divide each side by '5'.
x = 3.2

Simplifying
x = 3.2

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