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

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


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

Reorder the terms:
2(-4 + x) + 3 = 2x(-5)
(-4 * 2 + x * 2) + 3 = 2x(-5)
(-8 + 2x) + 3 = 2x(-5)

Reorder the terms:
-8 + 3 + 2x = 2x(-5)

Combine like terms: -8 + 3 = -5
-5 + 2x = 2x(-5)

Reorder the terms for easier multiplication:
-5 + 2x = 2 * -5x

Multiply 2 * -5
-5 + 2x = -10x

Solving
-5 + 2x = -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-5 + 2x + 10x = -10x + 10x

Combine like terms: 2x + 10x = 12x
-5 + 12x = -10x + 10x

Combine like terms: -10x + 10x = 0
-5 + 12x = 0

Add '5' to each side of the equation.
-5 + 5 + 12x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 12x = 0 + 5
12x = 0 + 5

Combine like terms: 0 + 5 = 5
12x = 5

Divide each side by '12'.
x = 0.4166666667

Simplifying
x = 0.4166666667

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