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

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


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

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

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

Reorder the terms:
-1 + 5x = -6 + -4 + 2x

Combine like terms: -6 + -4 = -10
-1 + 5x = -10 + 2x

Solving
-1 + 5x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 5x + -2x = -10 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-1 + 3x = -10 + 0
-1 + 3x = -10

Add '1' to each side of the equation.
-1 + 1 + 3x = -10 + 1

Combine like terms: -1 + 1 = 0
0 + 3x = -10 + 1
3x = -10 + 1

Combine like terms: -10 + 1 = -9
3x = -9

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

Simplifying
x = -3

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