45-6x+3=8x+6

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Solution for 45-6x+3=8x+6 equation:


Simplifying
45 + -6x + 3 = 8x + 6

Reorder the terms:
45 + 3 + -6x = 8x + 6

Combine like terms: 45 + 3 = 48
48 + -6x = 8x + 6

Reorder the terms:
48 + -6x = 6 + 8x

Solving
48 + -6x = 6 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
48 + -6x + -8x = 6 + 8x + -8x

Combine like terms: -6x + -8x = -14x
48 + -14x = 6 + 8x + -8x

Combine like terms: 8x + -8x = 0
48 + -14x = 6 + 0
48 + -14x = 6

Add '-48' to each side of the equation.
48 + -48 + -14x = 6 + -48

Combine like terms: 48 + -48 = 0
0 + -14x = 6 + -48
-14x = 6 + -48

Combine like terms: 6 + -48 = -42
-14x = -42

Divide each side by '-14'.
x = 3

Simplifying
x = 3

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