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

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


Simplifying
x + -1 + -3(5 + -2x) = 2(2x + -5)
x + -1 + (5 * -3 + -2x * -3) = 2(2x + -5)
x + -1 + (-15 + 6x) = 2(2x + -5)

Reorder the terms:
-1 + -15 + x + 6x = 2(2x + -5)

Combine like terms: -1 + -15 = -16
-16 + x + 6x = 2(2x + -5)

Combine like terms: x + 6x = 7x
-16 + 7x = 2(2x + -5)

Reorder the terms:
-16 + 7x = 2(-5 + 2x)
-16 + 7x = (-5 * 2 + 2x * 2)
-16 + 7x = (-10 + 4x)

Solving
-16 + 7x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-16 + 7x + -4x = -10 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-16 + 3x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-16 + 3x = -10 + 0
-16 + 3x = -10

Add '16' to each side of the equation.
-16 + 16 + 3x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + 3x = -10 + 16
3x = -10 + 16

Combine like terms: -10 + 16 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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