58=0.15(x-200)+40

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Solution for 58=0.15(x-200)+40 equation: 


Simplifying
58 = 0.15(x + -200) + 40

Reorder the terms:
58 = 0.15(-200 + x) + 40
58 = (-200 * 0.15 + x * 0.15) + 40
58 = (-30 + 0.15x) + 40

Reorder the terms:
58 = -30 + 40 + 0.15x

Combine like terms: -30 + 40 = 10
58 = 10 + 0.15x

Solving
58 = 10 + 0.15x

Solving for variable 'x'.

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

Add '-0.15x' to each side of the equation.
58 + -0.15x = 10 + 0.15x + -0.15x

Combine like terms: 0.15x + -0.15x = 0.00
58 + -0.15x = 10 + 0.00
58 + -0.15x = 10

Add '-58' to each side of the equation.
58 + -58 + -0.15x = 10 + -58

Combine like terms: 58 + -58 = 0
0 + -0.15x = 10 + -58
-0.15x = 10 + -58

Combine like terms: 10 + -58 = -48
-0.15x = -48

Divide each side by '-0.15'.
x = 320

Simplifying
x = 320

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