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

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


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

Reorder the terms:
3(-7 + 7x) = 5(4x + -2) + 3
(-7 * 3 + 7x * 3) = 5(4x + -2) + 3
(-21 + 21x) = 5(4x + -2) + 3

Reorder the terms:
-21 + 21x = 5(-2 + 4x) + 3
-21 + 21x = (-2 * 5 + 4x * 5) + 3
-21 + 21x = (-10 + 20x) + 3

Reorder the terms:
-21 + 21x = -10 + 3 + 20x

Combine like terms: -10 + 3 = -7
-21 + 21x = -7 + 20x

Solving
-21 + 21x = -7 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-21 + 21x + -20x = -7 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-21 + 1x = -7 + 20x + -20x

Combine like terms: 20x + -20x = 0
-21 + 1x = -7 + 0
-21 + 1x = -7

Add '21' to each side of the equation.
-21 + 21 + 1x = -7 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -7 + 21
1x = -7 + 21

Combine like terms: -7 + 21 = 14
1x = 14

Divide each side by '1'.
x = 14

Simplifying
x = 14

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