0.5x+7=-2.5x+31

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Solution for 0.5x+7=-2.5x+31 equation:


Simplifying
0.5x + 7 = -2.5x + 31

Reorder the terms:
7 + 0.5x = -2.5x + 31

Reorder the terms:
7 + 0.5x = 31 + -2.5x

Solving
7 + 0.5x = 31 + -2.5x

Solving for variable 'x'.

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

Add '2.5x' to each side of the equation.
7 + 0.5x + 2.5x = 31 + -2.5x + 2.5x

Combine like terms: 0.5x + 2.5x = 3x
7 + 3x = 31 + -2.5x + 2.5x

Combine like terms: -2.5x + 2.5x = 0.0
7 + 3x = 31 + 0.0
7 + 3x = 31

Add '-7' to each side of the equation.
7 + -7 + 3x = 31 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 31 + -7
3x = 31 + -7

Combine like terms: 31 + -7 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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