42-2(6x-3)=15(2x+4)

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Solution for 42-2(6x-3)=15(2x+4) equation:


Simplifying
42 + -2(6x + -3) = 15(2x + 4)

Reorder the terms:
42 + -2(-3 + 6x) = 15(2x + 4)
42 + (-3 * -2 + 6x * -2) = 15(2x + 4)
42 + (6 + -12x) = 15(2x + 4)

Combine like terms: 42 + 6 = 48
48 + -12x = 15(2x + 4)

Reorder the terms:
48 + -12x = 15(4 + 2x)
48 + -12x = (4 * 15 + 2x * 15)
48 + -12x = (60 + 30x)

Solving
48 + -12x = 60 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
48 + -12x + -30x = 60 + 30x + -30x

Combine like terms: -12x + -30x = -42x
48 + -42x = 60 + 30x + -30x

Combine like terms: 30x + -30x = 0
48 + -42x = 60 + 0
48 + -42x = 60

Add '-48' to each side of the equation.
48 + -48 + -42x = 60 + -48

Combine like terms: 48 + -48 = 0
0 + -42x = 60 + -48
-42x = 60 + -48

Combine like terms: 60 + -48 = 12
-42x = 12

Divide each side by '-42'.
x = -0.2857142857

Simplifying
x = -0.2857142857

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