6x-(3-4x)=11+4(x-5)

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Solution for 6x-(3-4x)=11+4(x-5) equation:


Simplifying
6x + -1(3 + -4x) = 11 + 4(x + -5)
6x + (3 * -1 + -4x * -1) = 11 + 4(x + -5)
6x + (-3 + 4x) = 11 + 4(x + -5)

Reorder the terms:
-3 + 6x + 4x = 11 + 4(x + -5)

Combine like terms: 6x + 4x = 10x
-3 + 10x = 11 + 4(x + -5)

Reorder the terms:
-3 + 10x = 11 + 4(-5 + x)
-3 + 10x = 11 + (-5 * 4 + x * 4)
-3 + 10x = 11 + (-20 + 4x)

Combine like terms: 11 + -20 = -9
-3 + 10x = -9 + 4x

Solving
-3 + 10x = -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.
-3 + 10x + -4x = -9 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-3 + 6x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
-3 + 6x = -9 + 0
-3 + 6x = -9

Add '3' to each side of the equation.
-3 + 3 + 6x = -9 + 3

Combine like terms: -3 + 3 = 0
0 + 6x = -9 + 3
6x = -9 + 3

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

Divide each side by '6'.
x = -1

Simplifying
x = -1

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