3(x+2)-7=4x-20

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Solution for 3(x+2)-7=4x-20 equation:


Simplifying
3(x + 2) + -7 = 4x + -20

Reorder the terms:
3(2 + x) + -7 = 4x + -20
(2 * 3 + x * 3) + -7 = 4x + -20
(6 + 3x) + -7 = 4x + -20

Reorder the terms:
6 + -7 + 3x = 4x + -20

Combine like terms: 6 + -7 = -1
-1 + 3x = 4x + -20

Reorder the terms:
-1 + 3x = -20 + 4x

Solving
-1 + 3x = -20 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 3x + -4x = -20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1 + -1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -1x = -20 + 0
-1 + -1x = -20

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

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

Combine like terms: -20 + 1 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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