3(4x-5)+2=4x-11

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Solution for 3(4x-5)+2=4x-11 equation:


Simplifying
3(4x + -5) + 2 = 4x + -11

Reorder the terms:
3(-5 + 4x) + 2 = 4x + -11
(-5 * 3 + 4x * 3) + 2 = 4x + -11
(-15 + 12x) + 2 = 4x + -11

Reorder the terms:
-15 + 2 + 12x = 4x + -11

Combine like terms: -15 + 2 = -13
-13 + 12x = 4x + -11

Reorder the terms:
-13 + 12x = -11 + 4x

Solving
-13 + 12x = -11 + 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.
-13 + 12x + -4x = -11 + 4x + -4x

Combine like terms: 12x + -4x = 8x
-13 + 8x = -11 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + 8x = -11 + 0
-13 + 8x = -11

Add '13' to each side of the equation.
-13 + 13 + 8x = -11 + 13

Combine like terms: -13 + 13 = 0
0 + 8x = -11 + 13
8x = -11 + 13

Combine like terms: -11 + 13 = 2
8x = 2

Divide each side by '8'.
x = 0.25

Simplifying
x = 0.25

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