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

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


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

Reorder the terms:
2(5 + 3x) = -4(x + -3)
(5 * 2 + 3x * 2) = -4(x + -3)
(10 + 6x) = -4(x + -3)

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

Solving
10 + 6x = 12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
10 + 6x + 4x = 12 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
10 + 10x = 12 + 0
10 + 10x = 12

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

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

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

Divide each side by '10'.
x = 0.2

Simplifying
x = 0.2

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