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

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


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

Reorder the terms:
3(3 + 2x) + 2(4x + -1) = 21
(3 * 3 + 2x * 3) + 2(4x + -1) = 21
(9 + 6x) + 2(4x + -1) = 21

Reorder the terms:
9 + 6x + 2(-1 + 4x) = 21
9 + 6x + (-1 * 2 + 4x * 2) = 21
9 + 6x + (-2 + 8x) = 21

Reorder the terms:
9 + -2 + 6x + 8x = 21

Combine like terms: 9 + -2 = 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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