2(2x+6)+3(x-4)=21

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Solution for 2(2x+6)+3(x-4)=21 equation: 


Simplifying
2(2x + 6) + 3(x + -4) = 21

Reorder the terms:
2(6 + 2x) + 3(x + -4) = 21
(6 * 2 + 2x * 2) + 3(x + -4) = 21
(12 + 4x) + 3(x + -4) = 21

Reorder the terms:
12 + 4x + 3(-4 + x) = 21
12 + 4x + (-4 * 3 + x * 3) = 21
12 + 4x + (-12 + 3x) = 21

Reorder the terms:
12 + -12 + 4x + 3x = 21

Combine like terms: 12 + -12 = 0
0 + 4x + 3x = 21
4x + 3x = 21

Combine like terms: 4x + 3x = 7x
7x = 21

Solving
7x = 21

Solving for variable 'x'.

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

Divide each side by '7'.
x = 3

Simplifying
x = 3

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