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

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

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

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

Reorder the terms for easier multiplication:
2(-3 + 7x) = 4(-5 + 7x)
(-3 * 2 + 7x * 2) = 4(-5 + 7x)
(-6 + 14x) = 4(-5 + 7x)
-6 + 14x = (-5 * 4 + 7x * 4)
-6 + 14x = (-20 + 28x)

Solving
-6 + 14x = -20 + 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 + 14x + -28x = -20 + 28x + -28x

Combine like terms: 14x + -28x = -14x
-6 + -14x = -20 + 28x + -28x

Combine like terms: 28x + -28x = 0
-6 + -14x = -20 + 0
-6 + -14x = -20

Add '6' to each side of the equation.
-6 + 6 + -14x = -20 + 6

Combine like terms: -6 + 6 = 0
0 + -14x = -20 + 6
-14x = -20 + 6

Combine like terms: -20 + 6 = -14
-14x = -14

Divide each side by '-14'.
x = 1

Simplifying
x = 1