7(2x+3)=4(x-5)-17

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Solution for 7(2x+3)=4(x-5)-17 equation: 


Simplifying
7(2x + 3) = 4(x + -5) + -17

Reorder the terms:
7(3 + 2x) = 4(x + -5) + -17
(3 * 7 + 2x * 7) = 4(x + -5) + -17
(21 + 14x) = 4(x + -5) + -17

Reorder the terms:
21 + 14x = 4(-5 + x) + -17
21 + 14x = (-5 * 4 + x * 4) + -17
21 + 14x = (-20 + 4x) + -17

Reorder the terms:
21 + 14x = -20 + -17 + 4x

Combine like terms: -20 + -17 = -37
21 + 14x = -37 + 4x

Solving
21 + 14x = -37 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
21 + 14x + -4x = -37 + 4x + -4x

Combine like terms: 14x + -4x = 10x
21 + 10x = -37 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + 10x = -37 + 0
21 + 10x = -37

Add '-21' to each side of the equation.
21 + -21 + 10x = -37 + -21

Combine like terms: 21 + -21 = 0
0 + 10x = -37 + -21
10x = -37 + -21

Combine like terms: -37 + -21 = -58
10x = -58

Divide each side by '10'.
x = -5.8

Simplifying
x = -5.8

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