5(x+7)-(2x-3)=3

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Solution for 5(x+7)-(2x-3)=3 equation: 


Simplifying
5(x + 7) + -1(2x + -3) = 3

Reorder the terms:
5(7 + x) + -1(2x + -3) = 3
(7 * 5 + x * 5) + -1(2x + -3) = 3
(35 + 5x) + -1(2x + -3) = 3

Reorder the terms:
35 + 5x + -1(-3 + 2x) = 3
35 + 5x + (-3 * -1 + 2x * -1) = 3
35 + 5x + (3 + -2x) = 3

Reorder the terms:
35 + 3 + 5x + -2x = 3

Combine like terms: 35 + 3 = 38
38 + 5x + -2x = 3

Combine like terms: 5x + -2x = 3x
38 + 3x = 3

Solving
38 + 3x = 3

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 3x = 3 + -38

Combine like terms: 38 + -38 = 0
0 + 3x = 3 + -38
3x = 3 + -38

Combine like terms: 3 + -38 = -35
3x = -35

Divide each side by '3'.
x = -11.66666667

Simplifying
x = -11.66666667

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