3+3(x-4)=11-8(x-5)

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Solution for 3+3(x-4)=11-8(x-5) equation:


Simplifying
3 + 3(x + -4) = 11 + -8(x + -5)

Reorder the terms:
3 + 3(-4 + x) = 11 + -8(x + -5)
3 + (-4 * 3 + x * 3) = 11 + -8(x + -5)
3 + (-12 + 3x) = 11 + -8(x + -5)

Combine like terms: 3 + -12 = -9
-9 + 3x = 11 + -8(x + -5)

Reorder the terms:
-9 + 3x = 11 + -8(-5 + x)
-9 + 3x = 11 + (-5 * -8 + x * -8)
-9 + 3x = 11 + (40 + -8x)

Combine like terms: 11 + 40 = 51
-9 + 3x = 51 + -8x

Solving
-9 + 3x = 51 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-9 + 3x + 8x = 51 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-9 + 11x = 51 + -8x + 8x

Combine like terms: -8x + 8x = 0
-9 + 11x = 51 + 0
-9 + 11x = 51

Add '9' to each side of the equation.
-9 + 9 + 11x = 51 + 9

Combine like terms: -9 + 9 = 0
0 + 11x = 51 + 9
11x = 51 + 9

Combine like terms: 51 + 9 = 60
11x = 60

Divide each side by '11'.
x = 5.454545455

Simplifying
x = 5.454545455

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