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

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


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

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

Combine like terms: 6x + 5x = 11x
-3 + 11x = 1 + -4(x + -2)

Reorder the terms:
-3 + 11x = 1 + -4(-2 + x)
-3 + 11x = 1 + (-2 * -4 + x * -4)
-3 + 11x = 1 + (8 + -4x)

Combine like terms: 1 + 8 = 9
-3 + 11x = 9 + -4x

Solving
-3 + 11x = 9 + -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.
-3 + 11x + 4x = 9 + -4x + 4x

Combine like terms: 11x + 4x = 15x
-3 + 15x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 15x = 9 + 0
-3 + 15x = 9

Add '3' to each side of the equation.
-3 + 3 + 15x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 15x = 9 + 3
15x = 9 + 3

Combine like terms: 9 + 3 = 12
15x = 12

Divide each side by '15'.
x = 0.8

Simplifying
x = 0.8

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