.5(x-10)+.7(x+20)=57

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Solution for .5(x-10)+.7(x+20)=57 equation: 


Simplifying
0.5(x + -10) + 0.7(x + 20) = 57

Reorder the terms:
0.5(-10 + x) + 0.7(x + 20) = 57
(-10 * 0.5 + x * 0.5) + 0.7(x + 20) = 57
(-5 + 0.5x) + 0.7(x + 20) = 57

Reorder the terms:
-5 + 0.5x + 0.7(20 + x) = 57
-5 + 0.5x + (20 * 0.7 + x * 0.7) = 57
-5 + 0.5x + (14 + 0.7x) = 57

Reorder the terms:
-5 + 14 + 0.5x + 0.7x = 57

Combine like terms: -5 + 14 = 9
9 + 0.5x + 0.7x = 57

Combine like terms: 0.5x + 0.7x = 1.2x
9 + 1.2x = 57

Solving
9 + 1.2x = 57

Solving for variable 'x'.

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

Add '-9' to each side of the equation.
9 + -9 + 1.2x = 57 + -9

Combine like terms: 9 + -9 = 0
0 + 1.2x = 57 + -9
1.2x = 57 + -9

Combine like terms: 57 + -9 = 48
1.2x = 48

Divide each side by '1.2'.
x = 40

Simplifying
x = 40

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