3(2x+1)+2(4x+2)=21

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Solution for 3(2x+1)+2(4x+2)=21 equation:


Simplifying
3(2x + 1) + 2(4x + 2) = 21

Reorder the terms:
3(1 + 2x) + 2(4x + 2) = 21
(1 * 3 + 2x * 3) + 2(4x + 2) = 21
(3 + 6x) + 2(4x + 2) = 21

Reorder the terms:
3 + 6x + 2(2 + 4x) = 21
3 + 6x + (2 * 2 + 4x * 2) = 21
3 + 6x + (4 + 8x) = 21

Reorder the terms:
3 + 4 + 6x + 8x = 21

Combine like terms: 3 + 4 = 7
7 + 6x + 8x = 21

Combine like terms: 6x + 8x = 14x
7 + 14x = 21

Solving
7 + 14x = 21

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + 14x = 21 + -7

Combine like terms: 7 + -7 = 0
0 + 14x = 21 + -7
14x = 21 + -7

Combine like terms: 21 + -7 = 14
14x = 14

Divide each side by '14'.
x = 1

Simplifying
x = 1

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