(7x+26)-(2x-4)=50

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Solution for (7x+26)-(2x-4)=50 equation:


Simplifying
(7x + 26) + -1(2x + -4) = 50

Reorder the terms:
(26 + 7x) + -1(2x + -4) = 50

Remove parenthesis around (26 + 7x)
26 + 7x + -1(2x + -4) = 50

Reorder the terms:
26 + 7x + -1(-4 + 2x) = 50
26 + 7x + (-4 * -1 + 2x * -1) = 50
26 + 7x + (4 + -2x) = 50

Reorder the terms:
26 + 4 + 7x + -2x = 50

Combine like terms: 26 + 4 = 30
30 + 7x + -2x = 50

Combine like terms: 7x + -2x = 5x
30 + 5x = 50

Solving
30 + 5x = 50

Solving for variable 'x'.

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

Add '-30' to each side of the equation.
30 + -30 + 5x = 50 + -30

Combine like terms: 30 + -30 = 0
0 + 5x = 50 + -30
5x = 50 + -30

Combine like terms: 50 + -30 = 20
5x = 20

Divide each side by '5'.
x = 4

Simplifying
x = 4

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