9-4(x+4)=11-6(x+2)

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Solution for 9-4(x+4)=11-6(x+2) equation:


Simplifying
9 + -4(x + 4) = 11 + -6(x + 2)

Reorder the terms:
9 + -4(4 + x) = 11 + -6(x + 2)
9 + (4 * -4 + x * -4) = 11 + -6(x + 2)
9 + (-16 + -4x) = 11 + -6(x + 2)

Combine like terms: 9 + -16 = -7
-7 + -4x = 11 + -6(x + 2)

Reorder the terms:
-7 + -4x = 11 + -6(2 + x)
-7 + -4x = 11 + (2 * -6 + x * -6)
-7 + -4x = 11 + (-12 + -6x)

Combine like terms: 11 + -12 = -1
-7 + -4x = -1 + -6x

Solving
-7 + -4x = -1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-7 + -4x + 6x = -1 + -6x + 6x

Combine like terms: -4x + 6x = 2x
-7 + 2x = -1 + -6x + 6x

Combine like terms: -6x + 6x = 0
-7 + 2x = -1 + 0
-7 + 2x = -1

Add '7' to each side of the equation.
-7 + 7 + 2x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -1 + 7
2x = -1 + 7

Combine like terms: -1 + 7 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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