3(x+5)-x=11+4(x-1)

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Solution for 3(x+5)-x=11+4(x-1) equation: 


Simplifying
3(x + 5) + -1x = 11 + 4(x + -1)

Reorder the terms:
3(5 + x) + -1x = 11 + 4(x + -1)
(5 * 3 + x * 3) + -1x = 11 + 4(x + -1)
(15 + 3x) + -1x = 11 + 4(x + -1)

Combine like terms: 3x + -1x = 2x
15 + 2x = 11 + 4(x + -1)

Reorder the terms:
15 + 2x = 11 + 4(-1 + x)
15 + 2x = 11 + (-1 * 4 + x * 4)
15 + 2x = 11 + (-4 + 4x)

Combine like terms: 11 + -4 = 7
15 + 2x = 7 + 4x

Solving
15 + 2x = 7 + 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.
15 + 2x + -4x = 7 + 4x + -4x

Combine like terms: 2x + -4x = -2x
15 + -2x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -2x = 7 + 0
15 + -2x = 7

Add '-15' to each side of the equation.
15 + -15 + -2x = 7 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 7 + -15
-2x = 7 + -15

Combine like terms: 7 + -15 = -8
-2x = -8

Divide each side by '-2'.
x = 4

Simplifying
x = 4

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