5(7x-3)-2(x+1)=17

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Solution for 5(7x-3)-2(x+1)=17 equation:


Simplifying
5(7x + -3) + -2(x + 1) = 17

Reorder the terms:
5(-3 + 7x) + -2(x + 1) = 17
(-3 * 5 + 7x * 5) + -2(x + 1) = 17
(-15 + 35x) + -2(x + 1) = 17

Reorder the terms:
-15 + 35x + -2(1 + x) = 17
-15 + 35x + (1 * -2 + x * -2) = 17
-15 + 35x + (-2 + -2x) = 17

Reorder the terms:
-15 + -2 + 35x + -2x = 17

Combine like terms: -15 + -2 = -17
-17 + 35x + -2x = 17

Combine like terms: 35x + -2x = 33x
-17 + 33x = 17

Solving
-17 + 33x = 17

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 33x = 17 + 17

Combine like terms: -17 + 17 = 0
0 + 33x = 17 + 17
33x = 17 + 17

Combine like terms: 17 + 17 = 34
33x = 34

Divide each side by '33'.
x = 1.03030303

Simplifying
x = 1.03030303

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