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

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


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

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

Remove parenthesis around (-4 + 3x)
-4 + 3x + 4(x + -2) = 1

Reorder the terms:
-4 + 3x + 4(-2 + x) = 1
-4 + 3x + (-2 * 4 + x * 4) = 1
-4 + 3x + (-8 + 4x) = 1

Reorder the terms:
-4 + -8 + 3x + 4x = 1

Combine like terms: -4 + -8 = -12
-12 + 3x + 4x = 1

Combine like terms: 3x + 4x = 7x
-12 + 7x = 1

Solving
-12 + 7x = 1

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 7x = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 7x = 1 + 12
7x = 1 + 12

Combine like terms: 1 + 12 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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