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

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


Simplifying
-6(3 + -1x) + 5 = 2(x + -2)
(3 * -6 + -1x * -6) + 5 = 2(x + -2)
(-18 + 6x) + 5 = 2(x + -2)

Reorder the terms:
-18 + 5 + 6x = 2(x + -2)

Combine like terms: -18 + 5 = -13
-13 + 6x = 2(x + -2)

Reorder the terms:
-13 + 6x = 2(-2 + x)
-13 + 6x = (-2 * 2 + x * 2)
-13 + 6x = (-4 + 2x)

Solving
-13 + 6x = -4 + 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.
-13 + 6x + -2x = -4 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-13 + 4x = -4 + 0
-13 + 4x = -4

Add '13' to each side of the equation.
-13 + 13 + 4x = -4 + 13

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

Combine like terms: -4 + 13 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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