7x-(x+9)=4x+9+1

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Solution for 7x-(x+9)=4x+9+1 equation:


Simplifying
7x + -1(x + 9) = 4x + 9 + 1

Reorder the terms:
7x + -1(9 + x) = 4x + 9 + 1
7x + (9 * -1 + x * -1) = 4x + 9 + 1
7x + (-9 + -1x) = 4x + 9 + 1

Reorder the terms:
-9 + 7x + -1x = 4x + 9 + 1

Combine like terms: 7x + -1x = 6x
-9 + 6x = 4x + 9 + 1

Reorder the terms:
-9 + 6x = 9 + 1 + 4x

Combine like terms: 9 + 1 = 10
-9 + 6x = 10 + 4x

Solving
-9 + 6x = 10 + 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.
-9 + 6x + -4x = 10 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-9 + 2x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + 2x = 10 + 0
-9 + 2x = 10

Add '9' to each side of the equation.
-9 + 9 + 2x = 10 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 10 + 9
2x = 10 + 9

Combine like terms: 10 + 9 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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