32+3(x-4)=8x-49

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Solution for 32+3(x-4)=8x-49 equation:


Simplifying
32 + 3(x + -4) = 8x + -49

Reorder the terms:
32 + 3(-4 + x) = 8x + -49
32 + (-4 * 3 + x * 3) = 8x + -49
32 + (-12 + 3x) = 8x + -49

Combine like terms: 32 + -12 = 20
20 + 3x = 8x + -49

Reorder the terms:
20 + 3x = -49 + 8x

Solving
20 + 3x = -49 + 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.
20 + 3x + -8x = -49 + 8x + -8x

Combine like terms: 3x + -8x = -5x
20 + -5x = -49 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -5x = -49 + 0
20 + -5x = -49

Add '-20' to each side of the equation.
20 + -20 + -5x = -49 + -20

Combine like terms: 20 + -20 = 0
0 + -5x = -49 + -20
-5x = -49 + -20

Combine like terms: -49 + -20 = -69
-5x = -69

Divide each side by '-5'.
x = 13.8

Simplifying
x = 13.8

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