-2-4(5x+12)=-7(-3x+5)

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Solution for -2-4(5x+12)=-7(-3x+5) equation:


Simplifying
-2 + -4(5x + 12) = -7(-3x + 5)

Reorder the terms:
-2 + -4(12 + 5x) = -7(-3x + 5)
-2 + (12 * -4 + 5x * -4) = -7(-3x + 5)
-2 + (-48 + -20x) = -7(-3x + 5)

Combine like terms: -2 + -48 = -50
-50 + -20x = -7(-3x + 5)

Reorder the terms:
-50 + -20x = -7(5 + -3x)
-50 + -20x = (5 * -7 + -3x * -7)
-50 + -20x = (-35 + 21x)

Solving
-50 + -20x = -35 + 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-50 + -20x + -21x = -35 + 21x + -21x

Combine like terms: -20x + -21x = -41x
-50 + -41x = -35 + 21x + -21x

Combine like terms: 21x + -21x = 0
-50 + -41x = -35 + 0
-50 + -41x = -35

Add '50' to each side of the equation.
-50 + 50 + -41x = -35 + 50

Combine like terms: -50 + 50 = 0
0 + -41x = -35 + 50
-41x = -35 + 50

Combine like terms: -35 + 50 = 15
-41x = 15

Divide each side by '-41'.
x = -0.3658536585

Simplifying
x = -0.3658536585

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