10+3(x+5)+5(2x-3)=10

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Solution for 10+3(x+5)+5(2x-3)=10 equation: 


Simplifying
10 + 3(x + 5) + 5(2x + -3) = 10

Reorder the terms:
10 + 3(5 + x) + 5(2x + -3) = 10
10 + (5 * 3 + x * 3) + 5(2x + -3) = 10
10 + (15 + 3x) + 5(2x + -3) = 10

Reorder the terms:
10 + 15 + 3x + 5(-3 + 2x) = 10
10 + 15 + 3x + (-3 * 5 + 2x * 5) = 10
10 + 15 + 3x + (-15 + 10x) = 10

Reorder the terms:
10 + 15 + -15 + 3x + 10x = 10

Combine like terms: 10 + 15 = 25
25 + -15 + 3x + 10x = 10

Combine like terms: 25 + -15 = 10
10 + 3x + 10x = 10

Combine like terms: 3x + 10x = 13x
10 + 13x = 10

Add '-10' to each side of the equation.
10 + -10 + 13x = 10 + -10

Combine like terms: 10 + -10 = 0
0 + 13x = 10 + -10
13x = 10 + -10

Combine like terms: 10 + -10 = 0
13x = 0

Solving
13x = 0

Solving for variable 'x'.

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

Divide each side by '13'.
x = 0

Simplifying
x = 0

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