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

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


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

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

Reorder the terms:
-3 + 2x = -5(-4 + x)
-3 + 2x = (-4 * -5 + x * -5)
-3 + 2x = (20 + -5x)

Solving
-3 + 2x = 20 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3 + 2x + 5x = 20 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-3 + 7x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-3 + 7x = 20 + 0
-3 + 7x = 20

Add '3' to each side of the equation.
-3 + 3 + 7x = 20 + 3

Combine like terms: -3 + 3 = 0
0 + 7x = 20 + 3
7x = 20 + 3

Combine like terms: 20 + 3 = 23
7x = 23

Divide each side by '7'.
x = 3.285714286

Simplifying
x = 3.285714286

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