-32+6(3x+4)=-(-5+38)+3x

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Solution for -32+6(3x+4)=-(-5+38)+3x equation:


Simplifying
-32 + 6(3x + 4) = -1(-5 + 38) + 3x

Reorder the terms:
-32 + 6(4 + 3x) = -1(-5 + 38) + 3x
-32 + (4 * 6 + 3x * 6) = -1(-5 + 38) + 3x
-32 + (24 + 18x) = -1(-5 + 38) + 3x

Combine like terms: -32 + 24 = -8
-8 + 18x = -1(-5 + 38) + 3x

Combine like terms: -5 + 38 = 33
-8 + 18x = -1(33) + 3x

Multiply -1 * 33
-8 + 18x = -33 + 3x

Solving
-8 + 18x = -33 + 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.
-8 + 18x + -3x = -33 + 3x + -3x

Combine like terms: 18x + -3x = 15x
-8 + 15x = -33 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 15x = -33 + 0
-8 + 15x = -33

Add '8' to each side of the equation.
-8 + 8 + 15x = -33 + 8

Combine like terms: -8 + 8 = 0
0 + 15x = -33 + 8
15x = -33 + 8

Combine like terms: -33 + 8 = -25
15x = -25

Divide each side by '15'.
x = -1.666666667

Simplifying
x = -1.666666667

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