4(x+3)=5x-20

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Solution for 4(x+3)=5x-20 equation:


Simplifying
4(x + 3) = 5x + -20

Reorder the terms:
4(3 + x) = 5x + -20
(3 * 4 + x * 4) = 5x + -20
(12 + 4x) = 5x + -20

Reorder the terms:
12 + 4x = -20 + 5x

Solving
12 + 4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
12 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -1x = -20 + 0
12 + -1x = -20

Add '-12' to each side of the equation.
12 + -12 + -1x = -20 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -20 + -12
-1x = -20 + -12

Combine like terms: -20 + -12 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32

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