4-3x=5(x+4)

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Solution for 4-3x=5(x+4) equation:


Simplifying
4 + -3x = 5(x + 4)

Reorder the terms:
4 + -3x = 5(4 + x)
4 + -3x = (4 * 5 + x * 5)
4 + -3x = (20 + 5x)

Solving
4 + -3x = 20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -3x + -5x = 20 + 5x + -5x

Combine like terms: -3x + -5x = -8x
4 + -8x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -8x = 20 + 0
4 + -8x = 20

Add '-4' to each side of the equation.
4 + -4 + -8x = 20 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 20 + -4
-8x = 20 + -4

Combine like terms: 20 + -4 = 16
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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