7+4(6-5x)=10-17x

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Solution for 7+4(6-5x)=10-17x equation:


Simplifying
7 + 4(6 + -5x) = 10 + -17x
7 + (6 * 4 + -5x * 4) = 10 + -17x
7 + (24 + -20x) = 10 + -17x

Combine like terms: 7 + 24 = 31
31 + -20x = 10 + -17x

Solving
31 + -20x = 10 + -17x

Solving for variable 'x'.

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

Add '17x' to each side of the equation.
31 + -20x + 17x = 10 + -17x + 17x

Combine like terms: -20x + 17x = -3x
31 + -3x = 10 + -17x + 17x

Combine like terms: -17x + 17x = 0
31 + -3x = 10 + 0
31 + -3x = 10

Add '-31' to each side of the equation.
31 + -31 + -3x = 10 + -31

Combine like terms: 31 + -31 = 0
0 + -3x = 10 + -31
-3x = 10 + -31

Combine like terms: 10 + -31 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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