4(2x-20)=6(3x+2)

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Solution for 4(2x-20)=6(3x+2) equation:


Simplifying
4(2x + -20) = 6(3x + 2)

Reorder the terms:
4(-20 + 2x) = 6(3x + 2)
(-20 * 4 + 2x * 4) = 6(3x + 2)
(-80 + 8x) = 6(3x + 2)

Reorder the terms:
-80 + 8x = 6(2 + 3x)
-80 + 8x = (2 * 6 + 3x * 6)
-80 + 8x = (12 + 18x)

Solving
-80 + 8x = 12 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-80 + 8x + -18x = 12 + 18x + -18x

Combine like terms: 8x + -18x = -10x
-80 + -10x = 12 + 18x + -18x

Combine like terms: 18x + -18x = 0
-80 + -10x = 12 + 0
-80 + -10x = 12

Add '80' to each side of the equation.
-80 + 80 + -10x = 12 + 80

Combine like terms: -80 + 80 = 0
0 + -10x = 12 + 80
-10x = 12 + 80

Combine like terms: 12 + 80 = 92
-10x = 92

Divide each side by '-10'.
x = -9.2

Simplifying
x = -9.2

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