-3x-46(x+3)=-8(6x+9)

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Solution for -3x-46(x+3)=-8(6x+9) equation:


Simplifying
-3x + -46(x + 3) = -8(6x + 9)

Reorder the terms:
-3x + -46(3 + x) = -8(6x + 9)
-3x + (3 * -46 + x * -46) = -8(6x + 9)
-3x + (-138 + -46x) = -8(6x + 9)

Reorder the terms:
-138 + -3x + -46x = -8(6x + 9)

Combine like terms: -3x + -46x = -49x
-138 + -49x = -8(6x + 9)

Reorder the terms:
-138 + -49x = -8(9 + 6x)
-138 + -49x = (9 * -8 + 6x * -8)
-138 + -49x = (-72 + -48x)

Solving
-138 + -49x = -72 + -48x

Solving for variable 'x'.

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

Add '48x' to each side of the equation.
-138 + -49x + 48x = -72 + -48x + 48x

Combine like terms: -49x + 48x = -1x
-138 + -1x = -72 + -48x + 48x

Combine like terms: -48x + 48x = 0
-138 + -1x = -72 + 0
-138 + -1x = -72

Add '138' to each side of the equation.
-138 + 138 + -1x = -72 + 138

Combine like terms: -138 + 138 = 0
0 + -1x = -72 + 138
-1x = -72 + 138

Combine like terms: -72 + 138 = 66
-1x = 66

Divide each side by '-1'.
x = -66

Simplifying
x = -66

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