12-2(3x+1)=4x-5

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Solution for 12-2(3x+1)=4x-5 equation:


Simplifying
12 + -2(3x + 1) = 4x + -5

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

Combine like terms: 12 + -2 = 10
10 + -6x = 4x + -5

Reorder the terms:
10 + -6x = -5 + 4x

Solving
10 + -6x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + -6x + -4x = -5 + 4x + -4x

Combine like terms: -6x + -4x = -10x
10 + -10x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -10x = -5 + 0
10 + -10x = -5

Add '-10' to each side of the equation.
10 + -10 + -10x = -5 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = -5 + -10
-10x = -5 + -10

Combine like terms: -5 + -10 = -15
-10x = -15

Divide each side by '-10'.
x = 1.5

Simplifying
x = 1.5

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