4+(3x+1)-6x=5(x+4)

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Solution for 4+(3x+1)-6x=5(x+4) equation:


Simplifying
4 + (3x + 1) + -6x = 5(x + 4)

Reorder the terms:
4 + (1 + 3x) + -6x = 5(x + 4)

Remove parenthesis around (1 + 3x)
4 + 1 + 3x + -6x = 5(x + 4)

Combine like terms: 4 + 1 = 5
5 + 3x + -6x = 5(x + 4)

Combine like terms: 3x + -6x = -3x
5 + -3x = 5(x + 4)

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

Solving
5 + -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.
5 + -3x + -5x = 20 + 5x + -5x

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

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

Add '-5' to each side of the equation.
5 + -5 + -8x = 20 + -5

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

Combine like terms: 20 + -5 = 15
-8x = 15

Divide each side by '-8'.
x = -1.875

Simplifying
x = -1.875

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