63=3(x+6)+5(2x+-4)

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Solution for 63=3(x+6)+5(2x+-4) equation:


Simplifying
63 = 3(x + 6) + 5(2x + -4)

Reorder the terms:
63 = 3(6 + x) + 5(2x + -4)
63 = (6 * 3 + x * 3) + 5(2x + -4)
63 = (18 + 3x) + 5(2x + -4)

Reorder the terms:
63 = 18 + 3x + 5(-4 + 2x)
63 = 18 + 3x + (-4 * 5 + 2x * 5)
63 = 18 + 3x + (-20 + 10x)

Reorder the terms:
63 = 18 + -20 + 3x + 10x

Combine like terms: 18 + -20 = -2
63 = -2 + 3x + 10x

Combine like terms: 3x + 10x = 13x
63 = -2 + 13x

Solving
63 = -2 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
63 + -13x = -2 + 13x + -13x

Combine like terms: 13x + -13x = 0
63 + -13x = -2 + 0
63 + -13x = -2

Add '-63' to each side of the equation.
63 + -63 + -13x = -2 + -63

Combine like terms: 63 + -63 = 0
0 + -13x = -2 + -63
-13x = -2 + -63

Combine like terms: -2 + -63 = -65
-13x = -65

Divide each side by '-13'.
x = 5

Simplifying
x = 5

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