10(3+x)=15(x+1)+5

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Solution for 10(3+x)=15(x+1)+5 equation: 


Simplifying
10(3 + x) = 15(x + 1) + 5
(3 * 10 + x * 10) = 15(x + 1) + 5
(30 + 10x) = 15(x + 1) + 5

Reorder the terms:
30 + 10x = 15(1 + x) + 5
30 + 10x = (1 * 15 + x * 15) + 5
30 + 10x = (15 + 15x) + 5

Reorder the terms:
30 + 10x = 15 + 5 + 15x

Combine like terms: 15 + 5 = 20
30 + 10x = 20 + 15x

Solving
30 + 10x = 20 + 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.
30 + 10x + -15x = 20 + 15x + -15x

Combine like terms: 10x + -15x = -5x
30 + -5x = 20 + 15x + -15x

Combine like terms: 15x + -15x = 0
30 + -5x = 20 + 0
30 + -5x = 20

Add '-30' to each side of the equation.
30 + -30 + -5x = 20 + -30

Combine like terms: 30 + -30 = 0
0 + -5x = 20 + -30
-5x = 20 + -30

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

Divide each side by '-5'.
x = 2

Simplifying
x = 2

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