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

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


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

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

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

Solving
20 + 4x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
20 + 4x + -6x = -12 + 6x + -6x

Combine like terms: 4x + -6x = -2x
20 + -2x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -2x = -12 + 0
20 + -2x = -12

Add '-20' to each side of the equation.
20 + -20 + -2x = -12 + -20

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

Combine like terms: -12 + -20 = -32
-2x = -32

Divide each side by '-2'.
x = 16

Simplifying
x = 16

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