3x+2-5(x-1)=6x+4

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Solution for 3x+2-5(x-1)=6x+4 equation:


Simplifying
3x + 2 + -5(x + -1) = 6x + 4

Reorder the terms:
3x + 2 + -5(-1 + x) = 6x + 4
3x + 2 + (-1 * -5 + x * -5) = 6x + 4
3x + 2 + (5 + -5x) = 6x + 4

Reorder the terms:
2 + 5 + 3x + -5x = 6x + 4

Combine like terms: 2 + 5 = 7
7 + 3x + -5x = 6x + 4

Combine like terms: 3x + -5x = -2x
7 + -2x = 6x + 4

Reorder the terms:
7 + -2x = 4 + 6x

Solving
7 + -2x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
7 + -2x + -6x = 4 + 6x + -6x

Combine like terms: -2x + -6x = -8x
7 + -8x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -8x = 4 + 0
7 + -8x = 4

Add '-7' to each side of the equation.
7 + -7 + -8x = 4 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 4 + -7
-8x = 4 + -7

Combine like terms: 4 + -7 = -3
-8x = -3

Divide each side by '-8'.
x = 0.375

Simplifying
x = 0.375

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