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 = 14
5x = 14

Divide each side by '5'.
x = 2.8

Simplifying
x = 2.8

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