3(x+5)-25=9+2(x-7)

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Solution for 3(x+5)-25=9+2(x-7) equation:


Simplifying
3(x + 5) + -25 = 9 + 2(x + -7)

Reorder the terms:
3(5 + x) + -25 = 9 + 2(x + -7)
(5 * 3 + x * 3) + -25 = 9 + 2(x + -7)
(15 + 3x) + -25 = 9 + 2(x + -7)

Reorder the terms:
15 + -25 + 3x = 9 + 2(x + -7)

Combine like terms: 15 + -25 = -10
-10 + 3x = 9 + 2(x + -7)

Reorder the terms:
-10 + 3x = 9 + 2(-7 + x)
-10 + 3x = 9 + (-7 * 2 + x * 2)
-10 + 3x = 9 + (-14 + 2x)

Combine like terms: 9 + -14 = -5
-10 + 3x = -5 + 2x

Solving
-10 + 3x = -5 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = -5 + 0
-10 + 1x = -5

Add '10' to each side of the equation.
-10 + 10 + 1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

Combine like terms: -5 + 10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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