5(4x+7)-(x+5)=68

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Solution for 5(4x+7)-(x+5)=68 equation:


Simplifying
5(4x + 7) + -1(x + 5) = 68

Reorder the terms:
5(7 + 4x) + -1(x + 5) = 68
(7 * 5 + 4x * 5) + -1(x + 5) = 68
(35 + 20x) + -1(x + 5) = 68

Reorder the terms:
35 + 20x + -1(5 + x) = 68
35 + 20x + (5 * -1 + x * -1) = 68
35 + 20x + (-5 + -1x) = 68

Reorder the terms:
35 + -5 + 20x + -1x = 68

Combine like terms: 35 + -5 = 30
30 + 20x + -1x = 68

Combine like terms: 20x + -1x = 19x
30 + 19x = 68

Solving
30 + 19x = 68

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 + 19x = 68 + -30

Combine like terms: 30 + -30 = 0
0 + 19x = 68 + -30
19x = 68 + -30

Combine like terms: 68 + -30 = 38
19x = 38

Divide each side by '19'.
x = 2

Simplifying
x = 2

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