3(1[3u-3]1)+3(1[2u-4]1)=x

Solution for 3(1[3u-3]1)+3(1[2u-4]1)=x equation:

Simplifying
3(1[3u + -3] * 1) + 3(1[2u + -4] * 1) = x

Reorder the terms:
3(1[-3 + 3u] * 1) + 3(1[2u + -4] * 1) = x

Reorder the terms for easier multiplication:
3(1 * 1[-3 + 3u]) + 3(1[2u + -4] * 1) = x

Multiply 1 * 1
3(1[-3 + 3u]) + 3(1[2u + -4] * 1) = x
3([-3 * 1 + 3u * 1]) + 3(1[2u + -4] * 1) = x
3([-3 + 3u]) + 3(1[2u + -4] * 1) = x
(-3 * 3 + 3u * 3) + 3(1[2u + -4] * 1) = x
(-9 + 9u) + 3(1[2u + -4] * 1) = x

Reorder the terms:
-9 + 9u + 3(1[-4 + 2u] * 1) = x

Reorder the terms for easier multiplication:
-9 + 9u + 3(1 * 1[-4 + 2u]) = x

Multiply 1 * 1
-9 + 9u + 3(1[-4 + 2u]) = x
-9 + 9u + 3([-4 * 1 + 2u * 1]) = x
-9 + 9u + 3([-4 + 2u]) = x
-9 + 9u + (-4 * 3 + 2u * 3) = x
-9 + 9u + (-12 + 6u) = x

Reorder the terms:
-9 + -12 + 9u + 6u = x

Combine like terms: -9 + -12 = -21
-21 + 9u + 6u = x

Combine like terms: 9u + 6u = 15u
-21 + 15u = x

Solving
-21 + 15u = x

Solving for variable 'u'.

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

Add '21' to each side of the equation.
-21 + 21 + 15u = 21 + x

Combine like terms: -21 + 21 = 0
0 + 15u = 21 + x
15u = 21 + x

Divide each side by '15'.
u = 1.4 + 0.06666666667x

Simplifying
u = 1.4 + 0.06666666667x