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

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


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

Reorder the terms:
4(-2 + 5x) = 7(2x + 3)
(-2 * 4 + 5x * 4) = 7(2x + 3)
(-8 + 20x) = 7(2x + 3)

Reorder the terms:
-8 + 20x = 7(3 + 2x)
-8 + 20x = (3 * 7 + 2x * 7)
-8 + 20x = (21 + 14x)

Solving
-8 + 20x = 21 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-8 + 20x + -14x = 21 + 14x + -14x

Combine like terms: 20x + -14x = 6x
-8 + 6x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + 6x = 21 + 0
-8 + 6x = 21

Add '8' to each side of the equation.
-8 + 8 + 6x = 21 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 21 + 8
6x = 21 + 8

Combine like terms: 21 + 8 = 29
6x = 29

Divide each side by '6'.
x = 4.833333333

Simplifying
x = 4.833333333

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