6-(3x+2)=5x+10

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Solution for 6-(3x+2)=5x+10 equation:


Simplifying
6 + -1(3x + 2) = 5x + 10

Reorder the terms:
6 + -1(2 + 3x) = 5x + 10
6 + (2 * -1 + 3x * -1) = 5x + 10
6 + (-2 + -3x) = 5x + 10

Combine like terms: 6 + -2 = 4
4 + -3x = 5x + 10

Reorder the terms:
4 + -3x = 10 + 5x

Solving
4 + -3x = 10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -3x + -5x = 10 + 5x + -5x

Combine like terms: -3x + -5x = -8x
4 + -8x = 10 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -8x = 10 + 0
4 + -8x = 10

Add '-4' to each side of the equation.
4 + -4 + -8x = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = 10 + -4
-8x = 10 + -4

Combine like terms: 10 + -4 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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