4(5x+60)=5(x+45)

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Solution for 4(5x+60)=5(x+45) equation:


Simplifying
4(5x + 60) = 5(x + 45)

Reorder the terms:
4(60 + 5x) = 5(x + 45)
(60 * 4 + 5x * 4) = 5(x + 45)
(240 + 20x) = 5(x + 45)

Reorder the terms:
240 + 20x = 5(45 + x)
240 + 20x = (45 * 5 + x * 5)
240 + 20x = (225 + 5x)

Solving
240 + 20x = 225 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
240 + 20x + -5x = 225 + 5x + -5x

Combine like terms: 20x + -5x = 15x
240 + 15x = 225 + 5x + -5x

Combine like terms: 5x + -5x = 0
240 + 15x = 225 + 0
240 + 15x = 225

Add '-240' to each side of the equation.
240 + -240 + 15x = 225 + -240

Combine like terms: 240 + -240 = 0
0 + 15x = 225 + -240
15x = 225 + -240

Combine like terms: 225 + -240 = -15
15x = -15

Divide each side by '15'.
x = -1

Simplifying
x = -1

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