7(x+3)=17x-4

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


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

Reorder the terms:
7(3 + x) = 17x + -4
(3 * 7 + x * 7) = 17x + -4
(21 + 7x) = 17x + -4

Reorder the terms:
21 + 7x = -4 + 17x

Solving
21 + 7x = -4 + 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.
21 + 7x + -17x = -4 + 17x + -17x

Combine like terms: 7x + -17x = -10x
21 + -10x = -4 + 17x + -17x

Combine like terms: 17x + -17x = 0
21 + -10x = -4 + 0
21 + -10x = -4

Add '-21' to each side of the equation.
21 + -21 + -10x = -4 + -21

Combine like terms: 21 + -21 = 0
0 + -10x = -4 + -21
-10x = -4 + -21

Combine like terms: -4 + -21 = -25
-10x = -25

Divide each side by '-10'.
x = 2.5

Simplifying
x = 2.5

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