5(x-1)+10(x+2)=45

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Solution for 5(x-1)+10(x+2)=45 equation:


Simplifying
5(x + -1) + 10(x + 2) = 45

Reorder the terms:
5(-1 + x) + 10(x + 2) = 45
(-1 * 5 + x * 5) + 10(x + 2) = 45
(-5 + 5x) + 10(x + 2) = 45

Reorder the terms:
-5 + 5x + 10(2 + x) = 45
-5 + 5x + (2 * 10 + x * 10) = 45
-5 + 5x + (20 + 10x) = 45

Reorder the terms:
-5 + 20 + 5x + 10x = 45

Combine like terms: -5 + 20 = 15
15 + 5x + 10x = 45

Combine like terms: 5x + 10x = 15x
15 + 15x = 45

Solving
15 + 15x = 45

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 15x = 45 + -15

Combine like terms: 15 + -15 = 0
0 + 15x = 45 + -15
15x = 45 + -15

Combine like terms: 45 + -15 = 30
15x = 30

Divide each side by '15'.
x = 2

Simplifying
x = 2

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