(2x-10)-(-7x-21)=4

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Solution for (2x-10)-(-7x-21)=4 equation:


Simplifying
(2x + -10) + -1(-7x + -21) = 4

Reorder the terms:
(-10 + 2x) + -1(-7x + -21) = 4

Remove parenthesis around (-10 + 2x)
-10 + 2x + -1(-7x + -21) = 4

Reorder the terms:
-10 + 2x + -1(-21 + -7x) = 4
-10 + 2x + (-21 * -1 + -7x * -1) = 4
-10 + 2x + (21 + 7x) = 4

Reorder the terms:
-10 + 21 + 2x + 7x = 4

Combine like terms: -10 + 21 = 11
11 + 2x + 7x = 4

Combine like terms: 2x + 7x = 9x
11 + 9x = 4

Solving
11 + 9x = 4

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 + 9x = 4 + -11

Combine like terms: 11 + -11 = 0
0 + 9x = 4 + -11
9x = 4 + -11

Combine like terms: 4 + -11 = -7
9x = -7

Divide each side by '9'.
x = -0.7777777778

Simplifying
x = -0.7777777778

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