5(x+3)-4(x-1)=21

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Solution for 5(x+3)-4(x-1)=21 equation:


Simplifying
5(x + 3) + -4(x + -1) = 21

Reorder the terms:
5(3 + x) + -4(x + -1) = 21
(3 * 5 + x * 5) + -4(x + -1) = 21
(15 + 5x) + -4(x + -1) = 21

Reorder the terms:
15 + 5x + -4(-1 + x) = 21
15 + 5x + (-1 * -4 + x * -4) = 21
15 + 5x + (4 + -4x) = 21

Reorder the terms:
15 + 4 + 5x + -4x = 21

Combine like terms: 15 + 4 = 19
19 + 5x + -4x = 21

Combine like terms: 5x + -4x = 1x
19 + 1x = 21

Solving
19 + 1x = 21

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 1x = 21 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 21 + -19
1x = 21 + -19

Combine like terms: 21 + -19 = 2
1x = 2

Divide each side by '1'.
x = 2

Simplifying
x = 2

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