10(x+3)=4(x+15)

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Solution for 10(x+3)=4(x+15) equation:


Simplifying
10(x + 3) = 4(x + 15)

Reorder the terms:
10(3 + x) = 4(x + 15)
(3 * 10 + x * 10) = 4(x + 15)
(30 + 10x) = 4(x + 15)

Reorder the terms:
30 + 10x = 4(15 + x)
30 + 10x = (15 * 4 + x * 4)
30 + 10x = (60 + 4x)

Solving
30 + 10x = 60 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
30 + 10x + -4x = 60 + 4x + -4x

Combine like terms: 10x + -4x = 6x
30 + 6x = 60 + 4x + -4x

Combine like terms: 4x + -4x = 0
30 + 6x = 60 + 0
30 + 6x = 60

Add '-30' to each side of the equation.
30 + -30 + 6x = 60 + -30

Combine like terms: 30 + -30 = 0
0 + 6x = 60 + -30
6x = 60 + -30

Combine like terms: 60 + -30 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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