4(2x+8)=3(3x+11)

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Solution for 4(2x+8)=3(3x+11) equation: 


Simplifying
4(2x + 8) = 3(3x + 11)

Reorder the terms:
4(8 + 2x) = 3(3x + 11)
(8 * 4 + 2x * 4) = 3(3x + 11)
(32 + 8x) = 3(3x + 11)

Reorder the terms:
32 + 8x = 3(11 + 3x)
32 + 8x = (11 * 3 + 3x * 3)
32 + 8x = (33 + 9x)

Solving
32 + 8x = 33 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
32 + 8x + -9x = 33 + 9x + -9x

Combine like terms: 8x + -9x = -1x
32 + -1x = 33 + 9x + -9x

Combine like terms: 9x + -9x = 0
32 + -1x = 33 + 0
32 + -1x = 33

Add '-32' to each side of the equation.
32 + -32 + -1x = 33 + -32

Combine like terms: 32 + -32 = 0
0 + -1x = 33 + -32
-1x = 33 + -32

Combine like terms: 33 + -32 = 1
-1x = 1

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

Simplifying
x = -1

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