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

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


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

Reorder the terms:
7(1 + -3x) = -2(x + 1)
(1 * 7 + -3x * 7) = -2(x + 1)
(7 + -21x) = -2(x + 1)

Reorder the terms:
7 + -21x = -2(1 + x)
7 + -21x = (1 * -2 + x * -2)
7 + -21x = (-2 + -2x)

Solving
7 + -21x = -2 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
7 + -21x + 2x = -2 + -2x + 2x

Combine like terms: -21x + 2x = -19x
7 + -19x = -2 + -2x + 2x

Combine like terms: -2x + 2x = 0
7 + -19x = -2 + 0
7 + -19x = -2

Add '-7' to each side of the equation.
7 + -7 + -19x = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -19x = -2 + -7
-19x = -2 + -7

Combine like terms: -2 + -7 = -9
-19x = -9

Divide each side by '-19'.
x = 0.4736842105

Simplifying
x = 0.4736842105

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