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

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


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

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

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

Solving
-4 + 3x = -10 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-4 + 3x + 2x = -10 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-4 + 5x = -10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-4 + 5x = -10 + 0
-4 + 5x = -10

Add '4' to each side of the equation.
-4 + 4 + 5x = -10 + 4

Combine like terms: -4 + 4 = 0
0 + 5x = -10 + 4
5x = -10 + 4

Combine like terms: -10 + 4 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2

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