2+5x=3(-x+4)-50

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Solution for 2+5x=3(-x+4)-50 equation:


Simplifying
2 + 5x = 3(-1x + 4) + -50

Reorder the terms:
2 + 5x = 3(4 + -1x) + -50
2 + 5x = (4 * 3 + -1x * 3) + -50
2 + 5x = (12 + -3x) + -50

Reorder the terms:
2 + 5x = 12 + -50 + -3x

Combine like terms: 12 + -50 = -38
2 + 5x = -38 + -3x

Solving
2 + 5x = -38 + -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.
2 + 5x + 3x = -38 + -3x + 3x

Combine like terms: 5x + 3x = 8x
2 + 8x = -38 + -3x + 3x

Combine like terms: -3x + 3x = 0
2 + 8x = -38 + 0
2 + 8x = -38

Add '-2' to each side of the equation.
2 + -2 + 8x = -38 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = -38 + -2
8x = -38 + -2

Combine like terms: -38 + -2 = -40
8x = -40

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

Simplifying
x = -5

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