5x-3(x-1)=4+5x+10

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Solution for 5x-3(x-1)=4+5x+10 equation: 


Simplifying
5x + -3(x + -1) = 4 + 5x + 10

Reorder the terms:
5x + -3(-1 + x) = 4 + 5x + 10
5x + (-1 * -3 + x * -3) = 4 + 5x + 10
5x + (3 + -3x) = 4 + 5x + 10

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

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

Reorder the terms:
3 + 2x = 4 + 10 + 5x

Combine like terms: 4 + 10 = 14
3 + 2x = 14 + 5x

Solving
3 + 2x = 14 + 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.
3 + 2x + -5x = 14 + 5x + -5x

Combine like terms: 2x + -5x = -3x
3 + -3x = 14 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -3x = 14 + 0
3 + -3x = 14

Add '-3' to each side of the equation.
3 + -3 + -3x = 14 + -3

Combine like terms: 3 + -3 = 0
0 + -3x = 14 + -3
-3x = 14 + -3

Combine like terms: 14 + -3 = 11
-3x = 11

Divide each side by '-3'.
x = -3.666666667

Simplifying
x = -3.666666667

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