4x+3(2x-5)=12x+20

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Solution for 4x+3(2x-5)=12x+20 equation:


Simplifying
4x + 3(2x + -5) = 12x + 20

Reorder the terms:
4x + 3(-5 + 2x) = 12x + 20
4x + (-5 * 3 + 2x * 3) = 12x + 20
4x + (-15 + 6x) = 12x + 20

Reorder the terms:
-15 + 4x + 6x = 12x + 20

Combine like terms: 4x + 6x = 10x
-15 + 10x = 12x + 20

Reorder the terms:
-15 + 10x = 20 + 12x

Solving
-15 + 10x = 20 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 10x + -12x = 20 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-15 + -2x = 20 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + -2x = 20 + 0
-15 + -2x = 20

Add '15' to each side of the equation.
-15 + 15 + -2x = 20 + 15

Combine like terms: -15 + 15 = 0
0 + -2x = 20 + 15
-2x = 20 + 15

Combine like terms: 20 + 15 = 35
-2x = 35

Divide each side by '-2'.
x = -17.5

Simplifying
x = -17.5

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