2(5x-13)-x=3(x-3)+7

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Solution for 2(5x-13)-x=3(x-3)+7 equation:


Simplifying
2(5x + -13) + -1x = 3(x + -3) + 7

Reorder the terms:
2(-13 + 5x) + -1x = 3(x + -3) + 7
(-13 * 2 + 5x * 2) + -1x = 3(x + -3) + 7
(-26 + 10x) + -1x = 3(x + -3) + 7

Combine like terms: 10x + -1x = 9x
-26 + 9x = 3(x + -3) + 7

Reorder the terms:
-26 + 9x = 3(-3 + x) + 7
-26 + 9x = (-3 * 3 + x * 3) + 7
-26 + 9x = (-9 + 3x) + 7

Reorder the terms:
-26 + 9x = -9 + 7 + 3x

Combine like terms: -9 + 7 = -2
-26 + 9x = -2 + 3x

Solving
-26 + 9x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-26 + 9x + -3x = -2 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-26 + 6x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
-26 + 6x = -2 + 0
-26 + 6x = -2

Add '26' to each side of the equation.
-26 + 26 + 6x = -2 + 26

Combine like terms: -26 + 26 = 0
0 + 6x = -2 + 26
6x = -2 + 26

Combine like terms: -2 + 26 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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