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

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


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

Reorder the terms:
4(-1 + 2x) = 5(x + 3)
(-1 * 4 + 2x * 4) = 5(x + 3)
(-4 + 8x) = 5(x + 3)

Reorder the terms:
-4 + 8x = 5(3 + x)
-4 + 8x = (3 * 5 + x * 5)
-4 + 8x = (15 + 5x)

Solving
-4 + 8x = 15 + 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.
-4 + 8x + -5x = 15 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-4 + 3x = 15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-4 + 3x = 15 + 0
-4 + 3x = 15

Add '4' to each side of the equation.
-4 + 4 + 3x = 15 + 4

Combine like terms: -4 + 4 = 0
0 + 3x = 15 + 4
3x = 15 + 4

Combine like terms: 15 + 4 = 19
3x = 19

Divide each side by '3'.
x = 6.333333333

Simplifying
x = 6.333333333

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