3(x+8)-2(x+5)=35

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Solution for 3(x+8)-2(x+5)=35 equation:


Simplifying
3(x + 8) + -2(x + 5) = 35

Reorder the terms:
3(8 + x) + -2(x + 5) = 35
(8 * 3 + x * 3) + -2(x + 5) = 35
(24 + 3x) + -2(x + 5) = 35

Reorder the terms:
24 + 3x + -2(5 + x) = 35
24 + 3x + (5 * -2 + x * -2) = 35
24 + 3x + (-10 + -2x) = 35

Reorder the terms:
24 + -10 + 3x + -2x = 35

Combine like terms: 24 + -10 = 14
14 + 3x + -2x = 35

Combine like terms: 3x + -2x = 1x
14 + 1x = 35

Solving
14 + 1x = 35

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 1x = 35 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 35 + -14
1x = 35 + -14

Combine like terms: 35 + -14 = 21
1x = 21

Divide each side by '1'.
x = 21

Simplifying
x = 21

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