-6(3-x)+5=2(x+4)

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Solution for -6(3-x)+5=2(x+4) equation:


Simplifying
-6(3 + -1x) + 5 = 2(x + 4)
(3 * -6 + -1x * -6) + 5 = 2(x + 4)
(-18 + 6x) + 5 = 2(x + 4)

Reorder the terms:
-18 + 5 + 6x = 2(x + 4)

Combine like terms: -18 + 5 = -13
-13 + 6x = 2(x + 4)

Reorder the terms:
-13 + 6x = 2(4 + x)
-13 + 6x = (4 * 2 + x * 2)
-13 + 6x = (8 + 2x)

Solving
-13 + 6x = 8 + 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 = 8 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-13 + 4x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
-13 + 4x = 8 + 0
-13 + 4x = 8

Add '13' to each side of the equation.
-13 + 13 + 4x = 8 + 13

Combine like terms: -13 + 13 = 0
0 + 4x = 8 + 13
4x = 8 + 13

Combine like terms: 8 + 13 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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