11(5x-3)=7(8x-7)

Solution for 11(5x-3)=7(8x-7) equation:

Simplifying
11(5x + -3) = 7(8x + -7)

Reorder the terms:
11(-3 + 5x) = 7(8x + -7)
(-3 * 11 + 5x * 11) = 7(8x + -7)
(-33 + 55x) = 7(8x + -7)

Reorder the terms:
-33 + 55x = 7(-7 + 8x)
-33 + 55x = (-7 * 7 + 8x * 7)
-33 + 55x = (-49 + 56x)

Solving
-33 + 55x = -49 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-33 + 55x + -56x = -49 + 56x + -56x

Combine like terms: 55x + -56x = -1x
-33 + -1x = -49 + 56x + -56x

Combine like terms: 56x + -56x = 0
-33 + -1x = -49 + 0
-33 + -1x = -49

Add '33' to each side of the equation.
-33 + 33 + -1x = -49 + 33

Combine like terms: -33 + 33 = 0
0 + -1x = -49 + 33
-1x = -49 + 33

Combine like terms: -49 + 33 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16