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

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


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

Reorder the terms:
6(4 + x) + -4(x + -5) = 63
(4 * 6 + x * 6) + -4(x + -5) = 63
(24 + 6x) + -4(x + -5) = 63

Reorder the terms:
24 + 6x + -4(-5 + x) = 63
24 + 6x + (-5 * -4 + x * -4) = 63
24 + 6x + (20 + -4x) = 63

Reorder the terms:
24 + 20 + 6x + -4x = 63

Combine like terms: 24 + 20 = 44
44 + 6x + -4x = 63

Combine like terms: 6x + -4x = 2x
44 + 2x = 63

Solving
44 + 2x = 63

Solving for variable 'x'.

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

Add '-44' to each side of the equation.
44 + -44 + 2x = 63 + -44

Combine like terms: 44 + -44 = 0
0 + 2x = 63 + -44
2x = 63 + -44

Combine like terms: 63 + -44 = 19
2x = 19

Divide each side by '2'.
x = 9.5

Simplifying
x = 9.5

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