10(2+x)=15(x-1+5)

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Solution for 10(2+x)=15(x-1+5) equation:


Simplifying
10(2 + x) = 15(x + -1 + 5)
(2 * 10 + x * 10) = 15(x + -1 + 5)
(20 + 10x) = 15(x + -1 + 5)

Reorder the terms:
20 + 10x = 15(-1 + 5 + x)

Combine like terms: -1 + 5 = 4
20 + 10x = 15(4 + x)
20 + 10x = (4 * 15 + x * 15)
20 + 10x = (60 + 15x)

Solving
20 + 10x = 60 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + 10x + -15x = 60 + 15x + -15x

Combine like terms: 10x + -15x = -5x
20 + -5x = 60 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -5x = 60 + 0
20 + -5x = 60

Add '-20' to each side of the equation.
20 + -20 + -5x = 60 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = 60 + -20
-5x = 60 + -20

Combine like terms: 60 + -20 = 40
-5x = 40

Divide each side by '-5'.
x = -8

Simplifying
x = -8

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