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

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


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

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

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

Combine like terms: x + 12x = 13x
-6 + 13x = 7x + -1

Reorder the terms:
-6 + 13x = -1 + 7x

Solving
-6 + 13x = -1 + 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.
-6 + 13x + -7x = -1 + 7x + -7x

Combine like terms: 13x + -7x = 6x
-6 + 6x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + 6x = -1 + 0
-6 + 6x = -1

Add '6' to each side of the equation.
-6 + 6 + 6x = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 6x = -1 + 6
6x = -1 + 6

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

Divide each side by '6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

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