3.5+.13x=4+(800-x)*.15

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Solution for 3.5+.13x=4+(800-x)*.15 equation:


Simplifying
3.5 + 0.13x = 4 + (800 + -1x) * 0.15

Reorder the terms for easier multiplication:
3.5 + 0.13x = 4 + 0.15(800 + -1x)
3.5 + 0.13x = 4 + (800 * 0.15 + -1x * 0.15)
3.5 + 0.13x = 4 + (120 + -0.15x)

Combine like terms: 4 + 120 = 124
3.5 + 0.13x = 124 + -0.15x

Solving
3.5 + 0.13x = 124 + -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.
3.5 + 0.13x + 0.15x = 124 + -0.15x + 0.15x

Combine like terms: 0.13x + 0.15x = 0.28x
3.5 + 0.28x = 124 + -0.15x + 0.15x

Combine like terms: -0.15x + 0.15x = 0.00
3.5 + 0.28x = 124 + 0.00
3.5 + 0.28x = 124

Add '-3.5' to each side of the equation.
3.5 + -3.5 + 0.28x = 124 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + 0.28x = 124 + -3.5
0.28x = 124 + -3.5

Combine like terms: 124 + -3.5 = 120.5
0.28x = 120.5

Divide each side by '0.28'.
x = 430.3571429

Simplifying
x = 430.3571429

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