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

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Solution for 2x-1-3x+5=3(x-10) equation: 


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

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

Combine like terms: -1 + 5 = 4
4 + 2x + -3x = 3(x + -10)

Combine like terms: 2x + -3x = -1x
4 + -1x = 3(x + -10)

Reorder the terms:
4 + -1x = 3(-10 + x)
4 + -1x = (-10 * 3 + x * 3)
4 + -1x = (-30 + 3x)

Solving
4 + -1x = -30 + 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.
4 + -1x + -3x = -30 + 3x + -3x

Combine like terms: -1x + -3x = -4x
4 + -4x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
4 + -4x = -30 + 0
4 + -4x = -30

Add '-4' to each side of the equation.
4 + -4 + -4x = -30 + -4

Combine like terms: 4 + -4 = 0
0 + -4x = -30 + -4
-4x = -30 + -4

Combine like terms: -30 + -4 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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