.10x+0.03(315-x)=0.05(315)

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Solution for .10x+0.03(315-x)=0.05(315) equation: 


Simplifying
0.10x + 0.03(315 + -1x) = 0.05(315)
0.10x + (315 * 0.03 + -1x * 0.03) = 0.05(315)
0.10x + (9.45 + -0.03x) = 0.05(315)

Reorder the terms:
9.45 + 0.10x + -0.03x = 0.05(315)

Combine like terms: 0.10x + -0.03x = 0.07x
9.45 + 0.07x = 0.05(315)

Multiply 0.05 * 315
9.45 + 0.07x = 15.75

Solving
9.45 + 0.07x = 15.75

Solving for variable 'x'.

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

Add '-9.45' to each side of the equation.
9.45 + -9.45 + 0.07x = 15.75 + -9.45

Combine like terms: 9.45 + -9.45 = 0.00
0.00 + 0.07x = 15.75 + -9.45
0.07x = 15.75 + -9.45

Combine like terms: 15.75 + -9.45 = 6.3
0.07x = 6.3

Divide each side by '0.07'.
x = 90

Simplifying
x = 90

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