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 = 3x
48 + 3x = -129 + 3x + -3x

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

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

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

Combine like terms: -129 + -48 = -177
3x = -177

Divide each side by '3'.
x = -59

Simplifying
x = -59

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