6(2x-5)=4(x+8)

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Solution for 6(2x-5)=4(x+8) equation:


Simplifying
6(2x + -5) = 4(x + 8)

Reorder the terms:
6(-5 + 2x) = 4(x + 8)
(-5 * 6 + 2x * 6) = 4(x + 8)
(-30 + 12x) = 4(x + 8)

Reorder the terms:
-30 + 12x = 4(8 + x)
-30 + 12x = (8 * 4 + x * 4)
-30 + 12x = (32 + 4x)

Solving
-30 + 12x = 32 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-30 + 12x + -4x = 32 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-30 + 8x = 32 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 8x = 32 + 0
-30 + 8x = 32

Add '30' to each side of the equation.
-30 + 30 + 8x = 32 + 30

Combine like terms: -30 + 30 = 0
0 + 8x = 32 + 30
8x = 32 + 30

Combine like terms: 32 + 30 = 62
8x = 62

Divide each side by '8'.
x = 7.75

Simplifying
x = 7.75

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