(6x+1)=(4x+9)

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Solution for (6x+1)=(4x+9) equation:


Simplifying
(6x + 1) = (4x + 9)

Reorder the terms:
(1 + 6x) = (4x + 9)

Remove parenthesis around (1 + 6x)
1 + 6x = (4x + 9)

Reorder the terms:
1 + 6x = (9 + 4x)

Remove parenthesis around (9 + 4x)
1 + 6x = 9 + 4x

Solving
1 + 6x = 9 + 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.
1 + 6x + -4x = 9 + 4x + -4x

Combine like terms: 6x + -4x = 2x
1 + 2x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + 2x = 9 + 0
1 + 2x = 9

Add '-1' to each side of the equation.
1 + -1 + 2x = 9 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 9 + -1
2x = 9 + -1

Combine like terms: 9 + -1 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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