4(8x-5)=7(5x+4)

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Solution for 4(8x-5)=7(5x+4) equation:


Simplifying
4(8x + -5) = 7(5x + 4)

Reorder the terms:
4(-5 + 8x) = 7(5x + 4)
(-5 * 4 + 8x * 4) = 7(5x + 4)
(-20 + 32x) = 7(5x + 4)

Reorder the terms:
-20 + 32x = 7(4 + 5x)
-20 + 32x = (4 * 7 + 5x * 7)
-20 + 32x = (28 + 35x)

Solving
-20 + 32x = 28 + 35x

Solving for variable 'x'.

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

Add '-35x' to each side of the equation.
-20 + 32x + -35x = 28 + 35x + -35x

Combine like terms: 32x + -35x = -3x
-20 + -3x = 28 + 35x + -35x

Combine like terms: 35x + -35x = 0
-20 + -3x = 28 + 0
-20 + -3x = 28

Add '20' to each side of the equation.
-20 + 20 + -3x = 28 + 20

Combine like terms: -20 + 20 = 0
0 + -3x = 28 + 20
-3x = 28 + 20

Combine like terms: 28 + 20 = 48
-3x = 48

Divide each side by '-3'.
x = -16

Simplifying
x = -16

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