3(10x-2)=4(-7x+11)

Solution for 3(10x-2)=4(-7x+11) equation:

Simplifying
3(10x + -2) = 4(-7x + 11)

Reorder the terms:
3(-2 + 10x) = 4(-7x + 11)
(-2 * 3 + 10x * 3) = 4(-7x + 11)
(-6 + 30x) = 4(-7x + 11)

Reorder the terms:
-6 + 30x = 4(11 + -7x)
-6 + 30x = (11 * 4 + -7x * 4)
-6 + 30x = (44 + -28x)

Solving
-6 + 30x = 44 + -28x

Solving for variable 'x'.

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

Add '28x' to each side of the equation.
-6 + 30x + 28x = 44 + -28x + 28x

Combine like terms: 30x + 28x = 58x
-6 + 58x = 44 + -28x + 28x

Combine like terms: -28x + 28x = 0
-6 + 58x = 44 + 0
-6 + 58x = 44

Add '6' to each side of the equation.
-6 + 6 + 58x = 44 + 6

Combine like terms: -6 + 6 = 0
0 + 58x = 44 + 6
58x = 44 + 6

Combine like terms: 44 + 6 = 50
58x = 50

Divide each side by '58'.
x = 0.8620689655

Simplifying
x = 0.8620689655