500=45(12)+35(x-12)

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Solution for 500=45(12)+35(x-12) equation:


Simplifying
500 = 45(12) + 35(x + -12)

Multiply 45 * 12
500 = 540 + 35(x + -12)

Reorder the terms:
500 = 540 + 35(-12 + x)
500 = 540 + (-12 * 35 + x * 35)
500 = 540 + (-420 + 35x)

Combine like terms: 540 + -420 = 120
500 = 120 + 35x

Solving
500 = 120 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
500 + -35x = 120 + 35x + -35x

Combine like terms: 35x + -35x = 0
500 + -35x = 120 + 0
500 + -35x = 120

Add '-500' to each side of the equation.
500 + -500 + -35x = 120 + -500

Combine like terms: 500 + -500 = 0
0 + -35x = 120 + -500
-35x = 120 + -500

Combine like terms: 120 + -500 = -380
-35x = -380

Divide each side by '-35'.
x = 10.85714286

Simplifying
x = 10.85714286

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