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

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


Simplifying
5(2 + -3x) + -2(x + -4) = 3(x + 2)
(2 * 5 + -3x * 5) + -2(x + -4) = 3(x + 2)
(10 + -15x) + -2(x + -4) = 3(x + 2)

Reorder the terms:
10 + -15x + -2(-4 + x) = 3(x + 2)
10 + -15x + (-4 * -2 + x * -2) = 3(x + 2)
10 + -15x + (8 + -2x) = 3(x + 2)

Reorder the terms:
10 + 8 + -15x + -2x = 3(x + 2)

Combine like terms: 10 + 8 = 18
18 + -15x + -2x = 3(x + 2)

Combine like terms: -15x + -2x = -17x
18 + -17x = 3(x + 2)

Reorder the terms:
18 + -17x = 3(2 + x)
18 + -17x = (2 * 3 + x * 3)
18 + -17x = (6 + 3x)

Solving
18 + -17x = 6 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
18 + -17x + -3x = 6 + 3x + -3x

Combine like terms: -17x + -3x = -20x
18 + -20x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
18 + -20x = 6 + 0
18 + -20x = 6

Add '-18' to each side of the equation.
18 + -18 + -20x = 6 + -18

Combine like terms: 18 + -18 = 0
0 + -20x = 6 + -18
-20x = 6 + -18

Combine like terms: 6 + -18 = -12
-20x = -12

Divide each side by '-20'.
x = 0.6

Simplifying
x = 0.6

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