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

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


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

Reorder the terms:
2(-5 + x) + -3 = -4(x + -3)
(-5 * 2 + x * 2) + -3 = -4(x + -3)
(-10 + 2x) + -3 = -4(x + -3)

Reorder the terms:
-10 + -3 + 2x = -4(x + -3)

Combine like terms: -10 + -3 = -13
-13 + 2x = -4(x + -3)

Reorder the terms:
-13 + 2x = -4(-3 + x)
-13 + 2x = (-3 * -4 + x * -4)
-13 + 2x = (12 + -4x)

Solving
-13 + 2x = 12 + -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.
-13 + 2x + 4x = 12 + -4x + 4x

Combine like terms: 2x + 4x = 6x
-13 + 6x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
-13 + 6x = 12 + 0
-13 + 6x = 12

Add '13' to each side of the equation.
-13 + 13 + 6x = 12 + 13

Combine like terms: -13 + 13 = 0
0 + 6x = 12 + 13
6x = 12 + 13

Combine like terms: 12 + 13 = 25
6x = 25

Divide each side by '6'.
x = 4.166666667

Simplifying
x = 4.166666667

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