4+5x=3(-x+4)-48

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Solution for 4+5x=3(-x+4)-48 equation:


Simplifying
4 + 5x = 3(-1x + 4) + -48

Reorder the terms:
4 + 5x = 3(4 + -1x) + -48
4 + 5x = (4 * 3 + -1x * 3) + -48
4 + 5x = (12 + -3x) + -48

Reorder the terms:
4 + 5x = 12 + -48 + -3x

Combine like terms: 12 + -48 = -36
4 + 5x = -36 + -3x

Solving
4 + 5x = -36 + -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 + 5x + 3x = -36 + -3x + 3x

Combine like terms: 5x + 3x = 8x
4 + 8x = -36 + -3x + 3x

Combine like terms: -3x + 3x = 0
4 + 8x = -36 + 0
4 + 8x = -36

Add '-4' to each side of the equation.
4 + -4 + 8x = -36 + -4

Combine like terms: 4 + -4 = 0
0 + 8x = -36 + -4
8x = -36 + -4

Combine like terms: -36 + -4 = -40
8x = -40

Divide each side by '8'.
x = -5

Simplifying
x = -5

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