3(-4x-2)+1=-7x+5

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Solution for 3(-4x-2)+1=-7x+5 equation:


Simplifying
3(-4x + -2) + 1 = -7x + 5

Reorder the terms:
3(-2 + -4x) + 1 = -7x + 5
(-2 * 3 + -4x * 3) + 1 = -7x + 5
(-6 + -12x) + 1 = -7x + 5

Reorder the terms:
-6 + 1 + -12x = -7x + 5

Combine like terms: -6 + 1 = -5
-5 + -12x = -7x + 5

Reorder the terms:
-5 + -12x = 5 + -7x

Solving
-5 + -12x = 5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-5 + -12x + 7x = 5 + -7x + 7x

Combine like terms: -12x + 7x = -5x
-5 + -5x = 5 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + -5x = 5 + 0
-5 + -5x = 5

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

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

Combine like terms: 5 + 5 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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