3(4-5x)=4(8-2x)+1

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Solution for 3(4-5x)=4(8-2x)+1 equation: 


Simplifying
3(4 + -5x) = 4(8 + -2x) + 1
(4 * 3 + -5x * 3) = 4(8 + -2x) + 1
(12 + -15x) = 4(8 + -2x) + 1
12 + -15x = (8 * 4 + -2x * 4) + 1
12 + -15x = (32 + -8x) + 1

Reorder the terms:
12 + -15x = 32 + 1 + -8x

Combine like terms: 32 + 1 = 33
12 + -15x = 33 + -8x

Solving
12 + -15x = 33 + -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.
12 + -15x + 8x = 33 + -8x + 8x

Combine like terms: -15x + 8x = -7x
12 + -7x = 33 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + -7x = 33 + 0
12 + -7x = 33

Add '-12' to each side of the equation.
12 + -12 + -7x = 33 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = 33 + -12
-7x = 33 + -12

Combine like terms: 33 + -12 = 21
-7x = 21

Divide each side by '-7'.
x = -3

Simplifying
x = -3

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