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

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

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

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

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

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

Reorder the terms:
2 + 6x = 5 + -3 + 1t + 1x

Combine like terms: 5 + -3 = 2
2 + 6x = 2 + 1t + 1x

Add '-2' to each side of the equation.
2 + -2 + 6x = 2 + 1t + -2 + 1x

Combine like terms: 2 + -2 = 0
0 + 6x = 2 + 1t + -2 + 1x
6x = 2 + 1t + -2 + 1x

Reorder the terms:
6x = 2 + -2 + 1t + 1x

Combine like terms: 2 + -2 = 0
6x = 0 + 1t + 1x
6x = 1t + 1x

Solving
6x = 1t + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
6x + -1x = 1t + 1x + -1x

Combine like terms: 6x + -1x = 5x
5x = 1t + 1x + -1x

Combine like terms: 1x + -1x = 0
5x = 1t + 0
5x = 1t

Divide each side by '5'.
x = 0.2t

Simplifying
x = 0.2t