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

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

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

Solving
20 + 10x = -10 + 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 = -10 + 15x + -15x

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

Combine like terms: 15x + -15x = 0
20 + -5x = -10 + 0
20 + -5x = -10

Add '-20' to each side of the equation.
20 + -20 + -5x = -10 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -10 + -20
-5x = -10 + -20

Combine like terms: -10 + -20 = -30
-5x = -30

Divide each side by '-5'.
x = 6

Simplifying
x = 6

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