3x+20+4x=6(4x-8)

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Solution for 3x+20+4x=6(4x-8) equation:


Simplifying
3x + 20 + 4x = 6(4x + -8)

Reorder the terms:
20 + 3x + 4x = 6(4x + -8)

Combine like terms: 3x + 4x = 7x
20 + 7x = 6(4x + -8)

Reorder the terms:
20 + 7x = 6(-8 + 4x)
20 + 7x = (-8 * 6 + 4x * 6)
20 + 7x = (-48 + 24x)

Solving
20 + 7x = -48 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
20 + 7x + -24x = -48 + 24x + -24x

Combine like terms: 7x + -24x = -17x
20 + -17x = -48 + 24x + -24x

Combine like terms: 24x + -24x = 0
20 + -17x = -48 + 0
20 + -17x = -48

Add '-20' to each side of the equation.
20 + -20 + -17x = -48 + -20

Combine like terms: 20 + -20 = 0
0 + -17x = -48 + -20
-17x = -48 + -20

Combine like terms: -48 + -20 = -68
-17x = -68

Divide each side by '-17'.
x = 4

Simplifying
x = 4

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