5(2x+6)-7(x-5)=23

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Solution for 5(2x+6)-7(x-5)=23 equation:


Simplifying
5(2x + 6) + -7(x + -5) = 23

Reorder the terms:
5(6 + 2x) + -7(x + -5) = 23
(6 * 5 + 2x * 5) + -7(x + -5) = 23
(30 + 10x) + -7(x + -5) = 23

Reorder the terms:
30 + 10x + -7(-5 + x) = 23
30 + 10x + (-5 * -7 + x * -7) = 23
30 + 10x + (35 + -7x) = 23

Reorder the terms:
30 + 35 + 10x + -7x = 23

Combine like terms: 30 + 35 = 65
65 + 10x + -7x = 23

Combine like terms: 10x + -7x = 3x
65 + 3x = 23

Solving
65 + 3x = 23

Solving for variable 'x'.

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

Add '-65' to each side of the equation.
65 + -65 + 3x = 23 + -65

Combine like terms: 65 + -65 = 0
0 + 3x = 23 + -65
3x = 23 + -65

Combine like terms: 23 + -65 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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