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

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


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

Reorder the terms:
5(-4 + x) + 2(x + -4) = 21
(-4 * 5 + x * 5) + 2(x + -4) = 21
(-20 + 5x) + 2(x + -4) = 21

Reorder the terms:
-20 + 5x + 2(-4 + x) = 21
-20 + 5x + (-4 * 2 + x * 2) = 21
-20 + 5x + (-8 + 2x) = 21

Reorder the terms:
-20 + -8 + 5x + 2x = 21

Combine like terms: -20 + -8 = -28
-28 + 5x + 2x = 21

Combine like terms: 5x + 2x = 7x
-28 + 7x = 21

Solving
-28 + 7x = 21

Solving for variable 'x'.

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

Add '28' to each side of the equation.
-28 + 28 + 7x = 21 + 28

Combine like terms: -28 + 28 = 0
0 + 7x = 21 + 28
7x = 21 + 28

Combine like terms: 21 + 28 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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