10x+5(52-x)=450

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Solution for 10x+5(52-x)=450 equation:


Simplifying
10x + 5(52 + -1x) = 450
10x + (52 * 5 + -1x * 5) = 450
10x + (260 + -5x) = 450

Reorder the terms:
260 + 10x + -5x = 450

Combine like terms: 10x + -5x = 5x
260 + 5x = 450

Solving
260 + 5x = 450

Solving for variable 'x'.

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

Add '-260' to each side of the equation.
260 + -260 + 5x = 450 + -260

Combine like terms: 260 + -260 = 0
0 + 5x = 450 + -260
5x = 450 + -260

Combine like terms: 450 + -260 = 190
5x = 190

Divide each side by '5'.
x = 38

Simplifying
x = 38

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