(7x+1)+(10x-9)=(19x-18)

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Solution for (7x+1)+(10x-9)=(19x-18) equation:


Simplifying
(7x + 1) + (10x + -9) = (19x + -18)

Reorder the terms:
(1 + 7x) + (10x + -9) = (19x + -18)

Remove parenthesis around (1 + 7x)
1 + 7x + (10x + -9) = (19x + -18)

Reorder the terms:
1 + 7x + (-9 + 10x) = (19x + -18)

Remove parenthesis around (-9 + 10x)
1 + 7x + -9 + 10x = (19x + -18)

Reorder the terms:
1 + -9 + 7x + 10x = (19x + -18)

Combine like terms: 1 + -9 = -8
-8 + 7x + 10x = (19x + -18)

Combine like terms: 7x + 10x = 17x
-8 + 17x = (19x + -18)

Reorder the terms:
-8 + 17x = (-18 + 19x)

Remove parenthesis around (-18 + 19x)
-8 + 17x = -18 + 19x

Solving
-8 + 17x = -18 + 19x

Solving for variable 'x'.

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

Add '-19x' to each side of the equation.
-8 + 17x + -19x = -18 + 19x + -19x

Combine like terms: 17x + -19x = -2x
-8 + -2x = -18 + 19x + -19x

Combine like terms: 19x + -19x = 0
-8 + -2x = -18 + 0
-8 + -2x = -18

Add '8' to each side of the equation.
-8 + 8 + -2x = -18 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = -18 + 8
-2x = -18 + 8

Combine like terms: -18 + 8 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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