34(x-1)+x=4(x+2)

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Solution for 34(x-1)+x=4(x+2) equation:


Simplifying
34(x + -1) + x = 4(x + 2)

Reorder the terms:
34(-1 + x) + x = 4(x + 2)
(-1 * 34 + x * 34) + x = 4(x + 2)
(-34 + 34x) + x = 4(x + 2)

Combine like terms: 34x + x = 35x
-34 + 35x = 4(x + 2)

Reorder the terms:
-34 + 35x = 4(2 + x)
-34 + 35x = (2 * 4 + x * 4)
-34 + 35x = (8 + 4x)

Solving
-34 + 35x = 8 + 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.
-34 + 35x + -4x = 8 + 4x + -4x

Combine like terms: 35x + -4x = 31x
-34 + 31x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-34 + 31x = 8 + 0
-34 + 31x = 8

Add '34' to each side of the equation.
-34 + 34 + 31x = 8 + 34

Combine like terms: -34 + 34 = 0
0 + 31x = 8 + 34
31x = 8 + 34

Combine like terms: 8 + 34 = 42
31x = 42

Divide each side by '31'.
x = 1.35483871

Simplifying
x = 1.35483871

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