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

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


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

Reorder the terms:
3(-4 + x) + -5(2x + 3) = 1
(-4 * 3 + x * 3) + -5(2x + 3) = 1
(-12 + 3x) + -5(2x + 3) = 1

Reorder the terms:
-12 + 3x + -5(3 + 2x) = 1
-12 + 3x + (3 * -5 + 2x * -5) = 1
-12 + 3x + (-15 + -10x) = 1

Reorder the terms:
-12 + -15 + 3x + -10x = 1

Combine like terms: -12 + -15 = -27
-27 + 3x + -10x = 1

Combine like terms: 3x + -10x = -7x
-27 + -7x = 1

Solving
-27 + -7x = 1

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + -7x = 1 + 27

Combine like terms: -27 + 27 = 0
0 + -7x = 1 + 27
-7x = 1 + 27

Combine like terms: 1 + 27 = 28
-7x = 28

Divide each side by '-7'.
x = -4

Simplifying
x = -4

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