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

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


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

Reorder the terms:
5(2 + 3x) = -3(2x + -4) + -4x
(2 * 5 + 3x * 5) = -3(2x + -4) + -4x
(10 + 15x) = -3(2x + -4) + -4x

Reorder the terms:
10 + 15x = -3(-4 + 2x) + -4x
10 + 15x = (-4 * -3 + 2x * -3) + -4x
10 + 15x = (12 + -6x) + -4x

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

Solving
10 + 15x = 12 + -10x

Solving for variable 'x'.

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

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

Combine like terms: 15x + 10x = 25x
10 + 25x = 12 + -10x + 10x

Combine like terms: -10x + 10x = 0
10 + 25x = 12 + 0
10 + 25x = 12

Add '-10' to each side of the equation.
10 + -10 + 25x = 12 + -10

Combine like terms: 10 + -10 = 0
0 + 25x = 12 + -10
25x = 12 + -10

Combine like terms: 12 + -10 = 2
25x = 2

Divide each side by '25'.
x = 0.08

Simplifying
x = 0.08

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