2(3x+5)=-1(4x-6)

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Solution for 2(3x+5)=-1(4x-6) equation:


Simplifying
2(3x + 5) = -1(4x + -6)

Reorder the terms:
2(5 + 3x) = -1(4x + -6)
(5 * 2 + 3x * 2) = -1(4x + -6)
(10 + 6x) = -1(4x + -6)

Reorder the terms:
10 + 6x = -1(-6 + 4x)
10 + 6x = (-6 * -1 + 4x * -1)
10 + 6x = (6 + -4x)

Solving
10 + 6x = 6 + -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 = 6 + -4x + 4x

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

Combine like terms: -4x + 4x = 0
10 + 10x = 6 + 0
10 + 10x = 6

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

Combine like terms: 10 + -10 = 0
0 + 10x = 6 + -10
10x = 6 + -10

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

Divide each side by '10'.
x = -0.4

Simplifying
x = -0.4

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