7-2(x-4)=21-5x

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Solution for 7-2(x-4)=21-5x equation:


Simplifying
7 + -2(x + -4) = 21 + -5x

Reorder the terms:
7 + -2(-4 + x) = 21 + -5x
7 + (-4 * -2 + x * -2) = 21 + -5x
7 + (8 + -2x) = 21 + -5x

Combine like terms: 7 + 8 = 15
15 + -2x = 21 + -5x

Solving
15 + -2x = 21 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
15 + -2x + 5x = 21 + -5x + 5x

Combine like terms: -2x + 5x = 3x
15 + 3x = 21 + -5x + 5x

Combine like terms: -5x + 5x = 0
15 + 3x = 21 + 0
15 + 3x = 21

Add '-15' to each side of the equation.
15 + -15 + 3x = 21 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = 21 + -15
3x = 21 + -15

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

Divide each side by '3'.
x = 2

Simplifying
x = 2

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