2(x-5)+5x=7x-3(x-3)+8

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Solution for 2(x-5)+5x=7x-3(x-3)+8 equation:


Simplifying
2(x + -5) + 5x = 7x + -3(x + -3) + 8

Reorder the terms:
2(-5 + x) + 5x = 7x + -3(x + -3) + 8
(-5 * 2 + x * 2) + 5x = 7x + -3(x + -3) + 8
(-10 + 2x) + 5x = 7x + -3(x + -3) + 8

Combine like terms: 2x + 5x = 7x
-10 + 7x = 7x + -3(x + -3) + 8

Reorder the terms:
-10 + 7x = 7x + -3(-3 + x) + 8
-10 + 7x = 7x + (-3 * -3 + x * -3) + 8
-10 + 7x = 7x + (9 + -3x) + 8

Reorder the terms:
-10 + 7x = 9 + 8 + 7x + -3x

Combine like terms: 9 + 8 = 17
-10 + 7x = 17 + 7x + -3x

Combine like terms: 7x + -3x = 4x
-10 + 7x = 17 + 4x

Solving
-10 + 7x = 17 + 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.
-10 + 7x + -4x = 17 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 3x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 3x = 17 + 0
-10 + 3x = 17

Add '10' to each side of the equation.
-10 + 10 + 3x = 17 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = 17 + 10
3x = 17 + 10

Combine like terms: 17 + 10 = 27
3x = 27

Divide each side by '3'.
x = 9

Simplifying
x = 9

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