2x+3(6x-2)=5-4(2x-7)

Solution for 2x+3(6x-2)=5-4(2x-7) equation:

Simplifying
2x + 3(6x + -2) = 5 + -4(2x + -7)

Reorder the terms:
2x + 3(-2 + 6x) = 5 + -4(2x + -7)
2x + (-2 * 3 + 6x * 3) = 5 + -4(2x + -7)
2x + (-6 + 18x) = 5 + -4(2x + -7)

Reorder the terms:
-6 + 2x + 18x = 5 + -4(2x + -7)

Combine like terms: 2x + 18x = 20x
-6 + 20x = 5 + -4(2x + -7)

Reorder the terms:
-6 + 20x = 5 + -4(-7 + 2x)
-6 + 20x = 5 + (-7 * -4 + 2x * -4)
-6 + 20x = 5 + (28 + -8x)

Combine like terms: 5 + 28 = 33
-6 + 20x = 33 + -8x

Solving
-6 + 20x = 33 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-6 + 20x + 8x = 33 + -8x + 8x

Combine like terms: 20x + 8x = 28x
-6 + 28x = 33 + -8x + 8x

Combine like terms: -8x + 8x = 0
-6 + 28x = 33 + 0
-6 + 28x = 33

Add '6' to each side of the equation.
-6 + 6 + 28x = 33 + 6

Combine like terms: -6 + 6 = 0
0 + 28x = 33 + 6
28x = 33 + 6

Combine like terms: 33 + 6 = 39
28x = 39

Divide each side by '28'.
x = 1.392857143

Simplifying
x = 1.392857143