4(2x-1)=19-4(x+5)

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Solution for 4(2x-1)=19-4(x+5) equation:


Simplifying
4(2x + -1) = 19 + -4(x + 5)

Reorder the terms:
4(-1 + 2x) = 19 + -4(x + 5)
(-1 * 4 + 2x * 4) = 19 + -4(x + 5)
(-4 + 8x) = 19 + -4(x + 5)

Reorder the terms:
-4 + 8x = 19 + -4(5 + x)
-4 + 8x = 19 + (5 * -4 + x * -4)
-4 + 8x = 19 + (-20 + -4x)

Combine like terms: 19 + -20 = -1
-4 + 8x = -1 + -4x

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

Solving for variable 'x'.

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

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

Combine like terms: 8x + 4x = 12x
-4 + 12x = -1 + -4x + 4x

Combine like terms: -4x + 4x = 0
-4 + 12x = -1 + 0
-4 + 12x = -1

Add '4' to each side of the equation.
-4 + 4 + 12x = -1 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = -1 + 4
12x = -1 + 4

Combine like terms: -1 + 4 = 3
12x = 3

Divide each side by '12'.
x = 0.25

Simplifying
x = 0.25

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