6(x+8)=-3(x-43)

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Solution for 6(x+8)=-3(x-43) equation: 


Simplifying
6(x + 8) = -3(x + -43)

Reorder the terms:
6(8 + x) = -3(x + -43)
(8 * 6 + x * 6) = -3(x + -43)
(48 + 6x) = -3(x + -43)

Reorder the terms:
48 + 6x = -3(-43 + x)
48 + 6x = (-43 * -3 + x * -3)
48 + 6x = (129 + -3x)

Solving
48 + 6x = 129 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
48 + 6x + 3x = 129 + -3x + 3x

Combine like terms: 6x + 3x = 9x
48 + 9x = 129 + -3x + 3x

Combine like terms: -3x + 3x = 0
48 + 9x = 129 + 0
48 + 9x = 129

Add '-48' to each side of the equation.
48 + -48 + 9x = 129 + -48

Combine like terms: 48 + -48 = 0
0 + 9x = 129 + -48
9x = 129 + -48

Combine like terms: 129 + -48 = 81
9x = 81

Divide each side by '9'.
x = 9

Simplifying
x = 9

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