-5(5-x)+6=2(x-3)

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Solution for -5(5-x)+6=2(x-3) equation:


Simplifying
-5(5 + -1x) + 6 = 2(x + -3)
(5 * -5 + -1x * -5) + 6 = 2(x + -3)
(-25 + 5x) + 6 = 2(x + -3)

Reorder the terms:
-25 + 6 + 5x = 2(x + -3)

Combine like terms: -25 + 6 = -19
-19 + 5x = 2(x + -3)

Reorder the terms:
-19 + 5x = 2(-3 + x)
-19 + 5x = (-3 * 2 + x * 2)
-19 + 5x = (-6 + 2x)

Solving
-19 + 5x = -6 + 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.
-19 + 5x + -2x = -6 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-19 + 3x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 3x = -6 + 0
-19 + 3x = -6

Add '19' to each side of the equation.
-19 + 19 + 3x = -6 + 19

Combine like terms: -19 + 19 = 0
0 + 3x = -6 + 19
3x = -6 + 19

Combine like terms: -6 + 19 = 13
3x = 13

Divide each side by '3'.
x = 4.333333333

Simplifying
x = 4.333333333

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