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

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


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

Reorder the terms:
4(3 + 5x) = 3(7x + -2)
(3 * 4 + 5x * 4) = 3(7x + -2)
(12 + 20x) = 3(7x + -2)

Reorder the terms:
12 + 20x = 3(-2 + 7x)
12 + 20x = (-2 * 3 + 7x * 3)
12 + 20x = (-6 + 21x)

Solving
12 + 20x = -6 + 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.
12 + 20x + -21x = -6 + 21x + -21x

Combine like terms: 20x + -21x = -1x
12 + -1x = -6 + 21x + -21x

Combine like terms: 21x + -21x = 0
12 + -1x = -6 + 0
12 + -1x = -6

Add '-12' to each side of the equation.
12 + -12 + -1x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = -6 + -12
-1x = -6 + -12

Combine like terms: -6 + -12 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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