2(x-3)+5=-4(2x-1)

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Solution for 2(x-3)+5=-4(2x-1) equation:


Simplifying
2(x + -3) + 5 = -4(2x + -1)

Reorder the terms:
2(-3 + x) + 5 = -4(2x + -1)
(-3 * 2 + x * 2) + 5 = -4(2x + -1)
(-6 + 2x) + 5 = -4(2x + -1)

Reorder the terms:
-6 + 5 + 2x = -4(2x + -1)

Combine like terms: -6 + 5 = -1
-1 + 2x = -4(2x + -1)

Reorder the terms:
-1 + 2x = -4(-1 + 2x)
-1 + 2x = (-1 * -4 + 2x * -4)
-1 + 2x = (4 + -8x)

Solving
-1 + 2x = 4 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-1 + 2x + 8x = 4 + -8x + 8x

Combine like terms: 2x + 8x = 10x
-1 + 10x = 4 + -8x + 8x

Combine like terms: -8x + 8x = 0
-1 + 10x = 4 + 0
-1 + 10x = 4

Add '1' to each side of the equation.
-1 + 1 + 10x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + 10x = 4 + 1
10x = 4 + 1

Combine like terms: 4 + 1 = 5
10x = 5

Divide each side by '10'.
x = 0.5

Simplifying
x = 0.5

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