4+3(x-9)=11-3(x-7)

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Solution for 4+3(x-9)=11-3(x-7) equation:


Simplifying
4 + 3(x + -9) = 11 + -3(x + -7)

Reorder the terms:
4 + 3(-9 + x) = 11 + -3(x + -7)
4 + (-9 * 3 + x * 3) = 11 + -3(x + -7)
4 + (-27 + 3x) = 11 + -3(x + -7)

Combine like terms: 4 + -27 = -23
-23 + 3x = 11 + -3(x + -7)

Reorder the terms:
-23 + 3x = 11 + -3(-7 + x)
-23 + 3x = 11 + (-7 * -3 + x * -3)
-23 + 3x = 11 + (21 + -3x)

Combine like terms: 11 + 21 = 32
-23 + 3x = 32 + -3x

Solving
-23 + 3x = 32 + -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.
-23 + 3x + 3x = 32 + -3x + 3x

Combine like terms: 3x + 3x = 6x
-23 + 6x = 32 + -3x + 3x

Combine like terms: -3x + 3x = 0
-23 + 6x = 32 + 0
-23 + 6x = 32

Add '23' to each side of the equation.
-23 + 23 + 6x = 32 + 23

Combine like terms: -23 + 23 = 0
0 + 6x = 32 + 23
6x = 32 + 23

Combine like terms: 32 + 23 = 55
6x = 55

Divide each side by '6'.
x = 9.166666667

Simplifying
x = 9.166666667

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