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

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


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

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

Reorder the terms:
2 + 4x = 3(-3 + x) + 1
2 + 4x = (-3 * 3 + x * 3) + 1
2 + 4x = (-9 + 3x) + 1

Reorder the terms:
2 + 4x = -9 + 1 + 3x

Combine like terms: -9 + 1 = -8
2 + 4x = -8 + 3x

Solving
2 + 4x = -8 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + 4x + -3x = -8 + 3x + -3x

Combine like terms: 4x + -3x = 1x
2 + 1x = -8 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + 1x = -8 + 0
2 + 1x = -8

Add '-2' to each side of the equation.
2 + -2 + 1x = -8 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -8 + -2
1x = -8 + -2

Combine like terms: -8 + -2 = -10
1x = -10

Divide each side by '1'.
x = -10

Simplifying
x = -10

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