4(3x+5x+2z)+3(x-z)=x

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Solution for 4(3x+5x+2z)+3(x-z)=x equation:


Simplifying
4(3x + 5x + 2z) + 3(x + -1z) = x

Combine like terms: 3x + 5x = 8x
4(8x + 2z) + 3(x + -1z) = x
(8x * 4 + 2z * 4) + 3(x + -1z) = x
(32x + 8z) + 3(x + -1z) = x
32x + 8z + (x * 3 + -1z * 3) = x
32x + 8z + (3x + -3z) = x

Reorder the terms:
32x + 3x + 8z + -3z = x

Combine like terms: 32x + 3x = 35x
35x + 8z + -3z = x

Combine like terms: 8z + -3z = 5z
35x + 5z = x

Solving
35x + 5z = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
35x + -1x + 5z = x + -1x

Combine like terms: 35x + -1x = 34x
34x + 5z = x + -1x

Combine like terms: x + -1x = 0
34x + 5z = 0

Add '-5z' to each side of the equation.
34x + 5z + -5z = 0 + -5z

Combine like terms: 5z + -5z = 0
34x + 0 = 0 + -5z
34x = 0 + -5z
Remove the zero:
34x = -5z

Divide each side by '34'.
x = -0.1470588235z

Simplifying
x = -0.1470588235z

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