8(4x-7)=6(5x+4)

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Solution for 8(4x-7)=6(5x+4) equation:


Simplifying
8(4x + -7) = 6(5x + 4)

Reorder the terms:
8(-7 + 4x) = 6(5x + 4)
(-7 * 8 + 4x * 8) = 6(5x + 4)
(-56 + 32x) = 6(5x + 4)

Reorder the terms:
-56 + 32x = 6(4 + 5x)
-56 + 32x = (4 * 6 + 5x * 6)
-56 + 32x = (24 + 30x)

Solving
-56 + 32x = 24 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
-56 + 32x + -30x = 24 + 30x + -30x

Combine like terms: 32x + -30x = 2x
-56 + 2x = 24 + 30x + -30x

Combine like terms: 30x + -30x = 0
-56 + 2x = 24 + 0
-56 + 2x = 24

Add '56' to each side of the equation.
-56 + 56 + 2x = 24 + 56

Combine like terms: -56 + 56 = 0
0 + 2x = 24 + 56
2x = 24 + 56

Combine like terms: 24 + 56 = 80
2x = 80

Divide each side by '2'.
x = 40

Simplifying
x = 40

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