.5(8-3.5)=.2(x+10)-x

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Solution for .5(8-3.5)=.2(x+10)-x equation: 


Simplifying
0.5(8 + -3.5) = 0.2(x + 10) + -1x

Combine like terms: 8 + -3.5 = 4.5
0.5(4.5) = 0.2(x + 10) + -1x

Multiply 0.5 * 4.5
2.25 = 0.2(x + 10) + -1x

Reorder the terms:
2.25 = 0.2(10 + x) + -1x
2.25 = (10 * 0.2 + x * 0.2) + -1x
2.25 = (2 + 0.2x) + -1x

Combine like terms: 0.2x + -1x = -0.8x
2.25 = 2 + -0.8x

Solving
2.25 = 2 + -0.8x

Solving for variable 'x'.

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

Add '0.8x' to each side of the equation.
2.25 + 0.8x = 2 + -0.8x + 0.8x

Combine like terms: -0.8x + 0.8x = 0.0
2.25 + 0.8x = 2 + 0.0
2.25 + 0.8x = 2

Add '-2.25' to each side of the equation.
2.25 + -2.25 + 0.8x = 2 + -2.25

Combine like terms: 2.25 + -2.25 = 0.00
0.00 + 0.8x = 2 + -2.25
0.8x = 2 + -2.25

Combine like terms: 2 + -2.25 = -0.25
0.8x = -0.25

Divide each side by '0.8'.
x = -0.3125

Simplifying
x = -0.3125

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