10(x+3)+8=5(x+6)+13

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Solution for 10(x+3)+8=5(x+6)+13 equation:


Simplifying
10(x + 3) + 8 = 5(x + 6) + 13

Reorder the terms:
10(3 + x) + 8 = 5(x + 6) + 13
(3 * 10 + x * 10) + 8 = 5(x + 6) + 13
(30 + 10x) + 8 = 5(x + 6) + 13

Reorder the terms:
30 + 8 + 10x = 5(x + 6) + 13

Combine like terms: 30 + 8 = 38
38 + 10x = 5(x + 6) + 13

Reorder the terms:
38 + 10x = 5(6 + x) + 13
38 + 10x = (6 * 5 + x * 5) + 13
38 + 10x = (30 + 5x) + 13

Reorder the terms:
38 + 10x = 30 + 13 + 5x

Combine like terms: 30 + 13 = 43
38 + 10x = 43 + 5x

Solving
38 + 10x = 43 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + 10x + -5x = 43 + 5x + -5x

Combine like terms: 10x + -5x = 5x
38 + 5x = 43 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + 5x = 43 + 0
38 + 5x = 43

Add '-38' to each side of the equation.
38 + -38 + 5x = 43 + -38

Combine like terms: 38 + -38 = 0
0 + 5x = 43 + -38
5x = 43 + -38

Combine like terms: 43 + -38 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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