9-4x+1=4x+42

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Solution for 9-4x+1=4x+42 equation:


Simplifying
9 + -4x + 1 = 4x + 42

Reorder the terms:
9 + 1 + -4x = 4x + 42

Combine like terms: 9 + 1 = 10
10 + -4x = 4x + 42

Reorder the terms:
10 + -4x = 42 + 4x

Solving
10 + -4x = 42 + 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.
10 + -4x + -4x = 42 + 4x + -4x

Combine like terms: -4x + -4x = -8x
10 + -8x = 42 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -8x = 42 + 0
10 + -8x = 42

Add '-10' to each side of the equation.
10 + -10 + -8x = 42 + -10

Combine like terms: 10 + -10 = 0
0 + -8x = 42 + -10
-8x = 42 + -10

Combine like terms: 42 + -10 = 32
-8x = 32

Divide each side by '-8'.
x = -4

Simplifying
x = -4

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