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

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


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

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

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

Combine like terms: -6 + -4 = -10
-10 + 2x = -5(x + -4)

Reorder the terms:
-10 + 2x = -5(-4 + x)
-10 + 2x = (-4 * -5 + x * -5)
-10 + 2x = (20 + -5x)

Solving
-10 + 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.
-10 + 2x + 5x = 20 + -5x + 5x

Combine like terms: 2x + 5x = 7x
-10 + 7x = 20 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 7x = 20 + 0
-10 + 7x = 20

Add '10' to each side of the equation.
-10 + 10 + 7x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 20 + 10
7x = 20 + 10

Combine like terms: 20 + 10 = 30
7x = 30

Divide each side by '7'.
x = 4.285714286

Simplifying
x = 4.285714286

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