2(x+5)+3(x-3)=21

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Solution for 2(x+5)+3(x-3)=21 equation: 


Simplifying
2(x + 5) + 3(x + -3) = 21

Reorder the terms:
2(5 + x) + 3(x + -3) = 21
(5 * 2 + x * 2) + 3(x + -3) = 21
(10 + 2x) + 3(x + -3) = 21

Reorder the terms:
10 + 2x + 3(-3 + x) = 21
10 + 2x + (-3 * 3 + x * 3) = 21
10 + 2x + (-9 + 3x) = 21

Reorder the terms:
10 + -9 + 2x + 3x = 21

Combine like terms: 10 + -9 = 1
1 + 2x + 3x = 21

Combine like terms: 2x + 3x = 5x
1 + 5x = 21

Solving
1 + 5x = 21

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 5x = 21 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = 21 + -1
5x = 21 + -1

Combine like terms: 21 + -1 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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