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

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


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

Reorder the terms:
3(-5 + 7x) = 4(5x + 2)
(-5 * 3 + 7x * 3) = 4(5x + 2)
(-15 + 21x) = 4(5x + 2)

Reorder the terms:
-15 + 21x = 4(2 + 5x)
-15 + 21x = (2 * 4 + 5x * 4)
-15 + 21x = (8 + 20x)

Solving
-15 + 21x = 8 + 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.
-15 + 21x + -20x = 8 + 20x + -20x

Combine like terms: 21x + -20x = 1x
-15 + 1x = 8 + 20x + -20x

Combine like terms: 20x + -20x = 0
-15 + 1x = 8 + 0
-15 + 1x = 8

Add '15' to each side of the equation.
-15 + 15 + 1x = 8 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = 8 + 15
1x = 8 + 15

Combine like terms: 8 + 15 = 23
1x = 23

Divide each side by '1'.
x = 23

Simplifying
x = 23

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