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

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


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

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

Reorder the terms:
-8 + 20x = 7(4 + x)
-8 + 20x = (4 * 7 + x * 7)
-8 + 20x = (28 + 7x)

Solving
-8 + 20x = 28 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 20x + -7x = 28 + 7x + -7x

Combine like terms: 20x + -7x = 13x
-8 + 13x = 28 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8 + 13x = 28 + 0
-8 + 13x = 28

Add '8' to each side of the equation.
-8 + 8 + 13x = 28 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 28 + 8
13x = 28 + 8

Combine like terms: 28 + 8 = 36
13x = 36

Divide each side by '13'.
x = 2.769230769

Simplifying
x = 2.769230769

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