(1x+7)-(2x-4)=17

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Solution for (1x+7)-(2x-4)=17 equation:


Simplifying
(1x + 7) + -1(2x + -4) = 17

Reorder the terms:
(7 + 1x) + -1(2x + -4) = 17

Remove parenthesis around (7 + 1x)
7 + 1x + -1(2x + -4) = 17

Reorder the terms:
7 + 1x + -1(-4 + 2x) = 17
7 + 1x + (-4 * -1 + 2x * -1) = 17
7 + 1x + (4 + -2x) = 17

Reorder the terms:
7 + 4 + 1x + -2x = 17

Combine like terms: 7 + 4 = 11
11 + 1x + -2x = 17

Combine like terms: 1x + -2x = -1x
11 + -1x = 17

Solving
11 + -1x = 17

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 17 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 17 + -11
-1x = 17 + -11

Combine like terms: 17 + -11 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

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