5(x-3)-2(x-7)+7(2x+6)=7

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Solution for 5(x-3)-2(x-7)+7(2x+6)=7 equation:


Simplifying
5(x + -3) + -2(x + -7) + 7(2x + 6) = 7

Reorder the terms:
5(-3 + x) + -2(x + -7) + 7(2x + 6) = 7
(-3 * 5 + x * 5) + -2(x + -7) + 7(2x + 6) = 7
(-15 + 5x) + -2(x + -7) + 7(2x + 6) = 7

Reorder the terms:
-15 + 5x + -2(-7 + x) + 7(2x + 6) = 7
-15 + 5x + (-7 * -2 + x * -2) + 7(2x + 6) = 7
-15 + 5x + (14 + -2x) + 7(2x + 6) = 7

Reorder the terms:
-15 + 5x + 14 + -2x + 7(6 + 2x) = 7
-15 + 5x + 14 + -2x + (6 * 7 + 2x * 7) = 7
-15 + 5x + 14 + -2x + (42 + 14x) = 7

Reorder the terms:
-15 + 14 + 42 + 5x + -2x + 14x = 7

Combine like terms: -15 + 14 = -1
-1 + 42 + 5x + -2x + 14x = 7

Combine like terms: -1 + 42 = 41
41 + 5x + -2x + 14x = 7

Combine like terms: 5x + -2x = 3x
41 + 3x + 14x = 7

Combine like terms: 3x + 14x = 17x
41 + 17x = 7

Solving
41 + 17x = 7

Solving for variable 'x'.

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

Add '-41' to each side of the equation.
41 + -41 + 17x = 7 + -41

Combine like terms: 41 + -41 = 0
0 + 17x = 7 + -41
17x = 7 + -41

Combine like terms: 7 + -41 = -34
17x = -34

Divide each side by '17'.
x = -2

Simplifying
x = -2

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