5(x+3)-3(x-2)=35

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Solution for 5(x+3)-3(x-2)=35 equation: 


Simplifying
5(x + 3) + -3(x + -2) = 35

Reorder the terms:
5(3 + x) + -3(x + -2) = 35
(3 * 5 + x * 5) + -3(x + -2) = 35
(15 + 5x) + -3(x + -2) = 35

Reorder the terms:
15 + 5x + -3(-2 + x) = 35
15 + 5x + (-2 * -3 + x * -3) = 35
15 + 5x + (6 + -3x) = 35

Reorder the terms:
15 + 6 + 5x + -3x = 35

Combine like terms: 15 + 6 = 21
21 + 5x + -3x = 35

Combine like terms: 5x + -3x = 2x
21 + 2x = 35

Solving
21 + 2x = 35

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + 2x = 35 + -21

Combine like terms: 21 + -21 = 0
0 + 2x = 35 + -21
2x = 35 + -21

Combine like terms: 35 + -21 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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