0.8x+20-4.5=0.7(5+x)-0.9x

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Solution for 0.8x+20-4.5=0.7(5+x)-0.9x equation: 


Simplifying
0.8x + 20 + -4.5 = 0.7(5 + x) + -0.9x

Reorder the terms:
20 + -4.5 + 0.8x = 0.7(5 + x) + -0.9x

Combine like terms: 20 + -4.5 = 15.5
15.5 + 0.8x = 0.7(5 + x) + -0.9x
15.5 + 0.8x = (5 * 0.7 + x * 0.7) + -0.9x
15.5 + 0.8x = (3.5 + 0.7x) + -0.9x

Combine like terms: 0.7x + -0.9x = -0.2x
15.5 + 0.8x = 3.5 + -0.2x

Solving
15.5 + 0.8x = 3.5 + -0.2x

Solving for variable 'x'.

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

Add '0.2x' to each side of the equation.
15.5 + 0.8x + 0.2x = 3.5 + -0.2x + 0.2x

Combine like terms: 0.8x + 0.2x = 1x
15.5 + 1x = 3.5 + -0.2x + 0.2x

Combine like terms: -0.2x + 0.2x = 0.0
15.5 + 1x = 3.5 + 0.0
15.5 + 1x = 3.5

Add '-15.5' to each side of the equation.
15.5 + -15.5 + 1x = 3.5 + -15.5

Combine like terms: 15.5 + -15.5 = 0.0
0.0 + 1x = 3.5 + -15.5
1x = 3.5 + -15.5

Combine like terms: 3.5 + -15.5 = -12
1x = -12

Divide each side by '1'.
x = -12

Simplifying
x = -12

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