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

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


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

Reorder the terms:
5(-4 + 4x) + 2 = 7(3x + -3)
(-4 * 5 + 4x * 5) + 2 = 7(3x + -3)
(-20 + 20x) + 2 = 7(3x + -3)

Reorder the terms:
-20 + 2 + 20x = 7(3x + -3)

Combine like terms: -20 + 2 = -18
-18 + 20x = 7(3x + -3)

Reorder the terms:
-18 + 20x = 7(-3 + 3x)
-18 + 20x = (-3 * 7 + 3x * 7)
-18 + 20x = (-21 + 21x)

Solving
-18 + 20x = -21 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-18 + 20x + -21x = -21 + 21x + -21x

Combine like terms: 20x + -21x = -1x
-18 + -1x = -21 + 21x + -21x

Combine like terms: 21x + -21x = 0
-18 + -1x = -21 + 0
-18 + -1x = -21

Add '18' to each side of the equation.
-18 + 18 + -1x = -21 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = -21 + 18
-1x = -21 + 18

Combine like terms: -21 + 18 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3

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