3(2x-5)-x=4+(3x+7)

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Solution for 3(2x-5)-x=4+(3x+7) equation:


Simplifying
3(2x + -5) + -1x = 4 + (3x + 7)

Reorder the terms:
3(-5 + 2x) + -1x = 4 + (3x + 7)
(-5 * 3 + 2x * 3) + -1x = 4 + (3x + 7)
(-15 + 6x) + -1x = 4 + (3x + 7)

Combine like terms: 6x + -1x = 5x
-15 + 5x = 4 + (3x + 7)

Reorder the terms:
-15 + 5x = 4 + (7 + 3x)

Remove parenthesis around (7 + 3x)
-15 + 5x = 4 + 7 + 3x

Combine like terms: 4 + 7 = 11
-15 + 5x = 11 + 3x

Solving
-15 + 5x = 11 + 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.
-15 + 5x + -3x = 11 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-15 + 2x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
-15 + 2x = 11 + 0
-15 + 2x = 11

Add '15' to each side of the equation.
-15 + 15 + 2x = 11 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 11 + 15
2x = 11 + 15

Combine like terms: 11 + 15 = 26
2x = 26

Divide each side by '2'.
x = 13

Simplifying
x = 13

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