6x+2=-4x+42

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Solution for 6x+2=-4x+42 equation:


Simplifying
6x + 2 = -4x + 42

Reorder the terms:
2 + 6x = -4x + 42

Reorder the terms:
2 + 6x = 42 + -4x

Solving
2 + 6x = 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.
2 + 6x + 4x = 42 + -4x + 4x

Combine like terms: 6x + 4x = 10x
2 + 10x = 42 + -4x + 4x

Combine like terms: -4x + 4x = 0
2 + 10x = 42 + 0
2 + 10x = 42

Add '-2' to each side of the equation.
2 + -2 + 10x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 42 + -2
10x = 42 + -2

Combine like terms: 42 + -2 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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