2(x+5)-1(x+4)=7x+18

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Solution for 2(x+5)-1(x+4)=7x+18 equation: 


Simplifying
2(x + 5) + -1(x + 4) = 7x + 18

Reorder the terms:
2(5 + x) + -1(x + 4) = 7x + 18
(5 * 2 + x * 2) + -1(x + 4) = 7x + 18
(10 + 2x) + -1(x + 4) = 7x + 18

Reorder the terms:
10 + 2x + -1(4 + x) = 7x + 18
10 + 2x + (4 * -1 + x * -1) = 7x + 18
10 + 2x + (-4 + -1x) = 7x + 18

Reorder the terms:
10 + -4 + 2x + -1x = 7x + 18

Combine like terms: 10 + -4 = 6
6 + 2x + -1x = 7x + 18

Combine like terms: 2x + -1x = 1x
6 + 1x = 7x + 18

Reorder the terms:
6 + 1x = 18 + 7x

Solving
6 + 1x = 18 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
6 + 1x + -7x = 18 + 7x + -7x

Combine like terms: 1x + -7x = -6x
6 + -6x = 18 + 7x + -7x

Combine like terms: 7x + -7x = 0
6 + -6x = 18 + 0
6 + -6x = 18

Add '-6' to each side of the equation.
6 + -6 + -6x = 18 + -6

Combine like terms: 6 + -6 = 0
0 + -6x = 18 + -6
-6x = 18 + -6

Combine like terms: 18 + -6 = 12
-6x = 12

Divide each side by '-6'.
x = -2

Simplifying
x = -2

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