3(8)(4x-3)=2(2)(8x+1)

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Solution for 3(8)(4x-3)=2(2)(8x+1) equation:


Simplifying
3(8)(4x + -3) = 2(2)(8x + 1)

Reorder the terms:
3 * 8(-3 + 4x) = 2(2)(8x + 1)

Multiply 3 * 8
24(-3 + 4x) = 2(2)(8x + 1)
(-3 * 24 + 4x * 24) = 2(2)(8x + 1)
(-72 + 96x) = 2(2)(8x + 1)

Reorder the terms:
-72 + 96x = 2 * 2(1 + 8x)

Multiply 2 * 2
-72 + 96x = 4(1 + 8x)
-72 + 96x = (1 * 4 + 8x * 4)
-72 + 96x = (4 + 32x)

Solving
-72 + 96x = 4 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-72 + 96x + -32x = 4 + 32x + -32x

Combine like terms: 96x + -32x = 64x
-72 + 64x = 4 + 32x + -32x

Combine like terms: 32x + -32x = 0
-72 + 64x = 4 + 0
-72 + 64x = 4

Add '72' to each side of the equation.
-72 + 72 + 64x = 4 + 72

Combine like terms: -72 + 72 = 0
0 + 64x = 4 + 72
64x = 4 + 72

Combine like terms: 4 + 72 = 76
64x = 76

Divide each side by '64'.
x = 1.1875

Simplifying
x = 1.1875

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