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

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


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

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

Reorder the terms:
-3 + 7x + -6x = 2x + -20

Combine like terms: 7x + -6x = 1x
-3 + 1x = 2x + -20

Reorder the terms:
-3 + 1x = -20 + 2x

Solving
-3 + 1x = -20 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 1x + -2x = -20 + 2x + -2x

Combine like terms: 1x + -2x = -1x
-3 + -1x = -20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + -1x = -20 + 0
-3 + -1x = -20

Add '3' to each side of the equation.
-3 + 3 + -1x = -20 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = -20 + 3
-1x = -20 + 3

Combine like terms: -20 + 3 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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