5x-3(x-5)=-2+4x+11

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Solution for 5x-3(x-5)=-2+4x+11 equation: 


Simplifying
5x + -3(x + -5) = -2 + 4x + 11

Reorder the terms:
5x + -3(-5 + x) = -2 + 4x + 11
5x + (-5 * -3 + x * -3) = -2 + 4x + 11
5x + (15 + -3x) = -2 + 4x + 11

Reorder the terms:
15 + 5x + -3x = -2 + 4x + 11

Combine like terms: 5x + -3x = 2x
15 + 2x = -2 + 4x + 11

Reorder the terms:
15 + 2x = -2 + 11 + 4x

Combine like terms: -2 + 11 = 9
15 + 2x = 9 + 4x

Solving
15 + 2x = 9 + 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 = 9 + 4x + -4x

Combine like terms: 2x + -4x = -2x
15 + -2x = 9 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -2x = 9 + 0
15 + -2x = 9

Add '-15' to each side of the equation.
15 + -15 + -2x = 9 + -15

Combine like terms: 15 + -15 = 0
0 + -2x = 9 + -15
-2x = 9 + -15

Combine like terms: 9 + -15 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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