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

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


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

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

Combine like terms: 7 + -2 = 5
5 + -6x = -4x + 1

Reorder the terms:
5 + -6x = 1 + -4x

Solving
5 + -6x = 1 + -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.
5 + -6x + 4x = 1 + -4x + 4x

Combine like terms: -6x + 4x = -2x
5 + -2x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
5 + -2x = 1 + 0
5 + -2x = 1

Add '-5' to each side of the equation.
5 + -5 + -2x = 1 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 1 + -5
-2x = 1 + -5

Combine like terms: 1 + -5 = -4
-2x = -4

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

Simplifying
x = 2

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