3(2x+1)+2(x-7)=20

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Solution for 3(2x+1)+2(x-7)=20 equation:


Simplifying
3(2x + 1) + 2(x + -7) = 20

Reorder the terms:
3(1 + 2x) + 2(x + -7) = 20
(1 * 3 + 2x * 3) + 2(x + -7) = 20
(3 + 6x) + 2(x + -7) = 20

Reorder the terms:
3 + 6x + 2(-7 + x) = 20
3 + 6x + (-7 * 2 + x * 2) = 20
3 + 6x + (-14 + 2x) = 20

Reorder the terms:
3 + -14 + 6x + 2x = 20

Combine like terms: 3 + -14 = -11
-11 + 6x + 2x = 20

Combine like terms: 6x + 2x = 8x
-11 + 8x = 20

Solving
-11 + 8x = 20

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 8x = 20 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 20 + 11
8x = 20 + 11

Combine like terms: 20 + 11 = 31
8x = 31

Divide each side by '8'.
x = 3.875

Simplifying
x = 3.875

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