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

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


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

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

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

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

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

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

Solving
-1 + -3x = 4

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 4 + 1
-3x = 4 + 1

Combine like terms: 4 + 1 = 5
-3x = 5

Divide each side by '-3'.
x = -1.666666667

Simplifying
x = -1.666666667

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