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

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


Simplifying
10(x) + (x + 3) = 5(x + x + 3)

Reorder the terms:
10x + (3 + x) = 5(x + x + 3)

Remove parenthesis around (3 + x)
10x + 3 + x = 5(x + x + 3)

Reorder the terms:
3 + 10x + x = 5(x + x + 3)

Combine like terms: 10x + x = 11x
3 + 11x = 5(x + x + 3)

Reorder the terms:
3 + 11x = 5(3 + x + x)

Combine like terms: x + x = 2x
3 + 11x = 5(3 + 2x)
3 + 11x = (3 * 5 + 2x * 5)
3 + 11x = (15 + 10x)

Solving
3 + 11x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
3 + 11x + -10x = 15 + 10x + -10x

Combine like terms: 11x + -10x = 1x
3 + 1x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + 1x = 15 + 0
3 + 1x = 15

Add '-3' to each side of the equation.
3 + -3 + 1x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + 1x = 15 + -3
1x = 15 + -3

Combine like terms: 15 + -3 = 12
1x = 12

Divide each side by '1'.
x = 12

Simplifying
x = 12

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