(4x+5)-(2x+6)=18

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Solution for (4x+5)-(2x+6)=18 equation:


Simplifying
(4x + 5) + -1(2x + 6) = 18

Reorder the terms:
(5 + 4x) + -1(2x + 6) = 18

Remove parenthesis around (5 + 4x)
5 + 4x + -1(2x + 6) = 18

Reorder the terms:
5 + 4x + -1(6 + 2x) = 18
5 + 4x + (6 * -1 + 2x * -1) = 18
5 + 4x + (-6 + -2x) = 18

Reorder the terms:
5 + -6 + 4x + -2x = 18

Combine like terms: 5 + -6 = -1
-1 + 4x + -2x = 18

Combine like terms: 4x + -2x = 2x
-1 + 2x = 18

Solving
-1 + 2x = 18

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 2x = 18 + 1

Combine like terms: -1 + 1 = 0
0 + 2x = 18 + 1
2x = 18 + 1

Combine like terms: 18 + 1 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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