3-4(x+5)=7x-17

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Solution for 3-4(x+5)=7x-17 equation:


Simplifying
3 + -4(x + 5) = 7x + -17

Reorder the terms:
3 + -4(5 + x) = 7x + -17
3 + (5 * -4 + x * -4) = 7x + -17
3 + (-20 + -4x) = 7x + -17

Combine like terms: 3 + -20 = -17
-17 + -4x = 7x + -17

Reorder the terms:
-17 + -4x = -17 + 7x

Add '17' to each side of the equation.
-17 + 17 + -4x = -17 + 17 + 7x

Combine like terms: -17 + 17 = 0
0 + -4x = -17 + 17 + 7x
-4x = -17 + 17 + 7x

Combine like terms: -17 + 17 = 0
-4x = 0 + 7x
-4x = 7x

Solving
-4x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4x + -7x = 7x + -7x

Combine like terms: -4x + -7x = -11x
-11x = 7x + -7x

Combine like terms: 7x + -7x = 0
-11x = 0

Divide each side by '-11'.
x = 0

Simplifying
x = 0

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