5(x+5)=7x-21

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Solution for 5(x+5)=7x-21 equation:


Simplifying
5(x + 5) = 7x + -21

Reorder the terms:
5(5 + x) = 7x + -21
(5 * 5 + x * 5) = 7x + -21
(25 + 5x) = 7x + -21

Reorder the terms:
25 + 5x = -21 + 7x

Solving
25 + 5x = -21 + 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.
25 + 5x + -7x = -21 + 7x + -7x

Combine like terms: 5x + -7x = -2x
25 + -2x = -21 + 7x + -7x

Combine like terms: 7x + -7x = 0
25 + -2x = -21 + 0
25 + -2x = -21

Add '-25' to each side of the equation.
25 + -25 + -2x = -21 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = -21 + -25
-2x = -21 + -25

Combine like terms: -21 + -25 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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