24x+6(4z+4x)+12(3x)=1560

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Solution for 24x+6(4z+4x)+12(3x)=1560 equation:


Simplifying
24x + 6(4z + 4x) + 12(3x) = 1560

Reorder the terms:
24x + 6(4x + 4z) + 12(3x) = 1560
24x + (4x * 6 + 4z * 6) + 12(3x) = 1560
24x + (24x + 24z) + 12(3x) = 1560

Remove parenthesis around (3x)
24x + 24x + 24z + 12 * 3x = 1560

Multiply 12 * 3
24x + 24x + 24z + 36x = 1560

Reorder the terms:
24x + 24x + 36x + 24z = 1560

Combine like terms: 24x + 24x = 48x
48x + 36x + 24z = 1560

Combine like terms: 48x + 36x = 84x
84x + 24z = 1560

Solving
84x + 24z = 1560

Solving for variable 'x'.

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

Add '-24z' to each side of the equation.
84x + 24z + -24z = 1560 + -24z

Combine like terms: 24z + -24z = 0
84x + 0 = 1560 + -24z
84x = 1560 + -24z

Divide each side by '84'.
x = 18.57142857 + -0.2857142857z

Simplifying
x = 18.57142857 + -0.2857142857z

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