3-4(x+8)=1-3(x+27)

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Solution for 3-4(x+8)=1-3(x+27) equation: 


Simplifying
3 + -4(x + 8) = 1 + -3(x + 27)

Reorder the terms:
3 + -4(8 + x) = 1 + -3(x + 27)
3 + (8 * -4 + x * -4) = 1 + -3(x + 27)
3 + (-32 + -4x) = 1 + -3(x + 27)

Combine like terms: 3 + -32 = -29
-29 + -4x = 1 + -3(x + 27)

Reorder the terms:
-29 + -4x = 1 + -3(27 + x)
-29 + -4x = 1 + (27 * -3 + x * -3)
-29 + -4x = 1 + (-81 + -3x)

Combine like terms: 1 + -81 = -80
-29 + -4x = -80 + -3x

Solving
-29 + -4x = -80 + -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.
-29 + -4x + 3x = -80 + -3x + 3x

Combine like terms: -4x + 3x = -1x
-29 + -1x = -80 + -3x + 3x

Combine like terms: -3x + 3x = 0
-29 + -1x = -80 + 0
-29 + -1x = -80

Add '29' to each side of the equation.
-29 + 29 + -1x = -80 + 29

Combine like terms: -29 + 29 = 0
0 + -1x = -80 + 29
-1x = -80 + 29

Combine like terms: -80 + 29 = -51
-1x = -51

Divide each side by '-1'.
x = 51

Simplifying
x = 51

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