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

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


Simplifying
5(2x + 5) + -1x = 7(3 + -1x)

Reorder the terms:
5(5 + 2x) + -1x = 7(3 + -1x)
(5 * 5 + 2x * 5) + -1x = 7(3 + -1x)
(25 + 10x) + -1x = 7(3 + -1x)

Combine like terms: 10x + -1x = 9x
25 + 9x = 7(3 + -1x)
25 + 9x = (3 * 7 + -1x * 7)
25 + 9x = (21 + -7x)

Solving
25 + 9x = 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 + 9x + 7x = 21 + -7x + 7x

Combine like terms: 9x + 7x = 16x
25 + 16x = 21 + -7x + 7x

Combine like terms: -7x + 7x = 0
25 + 16x = 21 + 0
25 + 16x = 21

Add '-25' to each side of the equation.
25 + -25 + 16x = 21 + -25

Combine like terms: 25 + -25 = 0
0 + 16x = 21 + -25
16x = 21 + -25

Combine like terms: 21 + -25 = -4
16x = -4

Divide each side by '16'.
x = -0.25

Simplifying
x = -0.25

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