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

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


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

Reorder the terms:
-5(4 + 3x) = 2(3x + 7)
(4 * -5 + 3x * -5) = 2(3x + 7)
(-20 + -15x) = 2(3x + 7)

Reorder the terms:
-20 + -15x = 2(7 + 3x)
-20 + -15x = (7 * 2 + 3x * 2)
-20 + -15x = (14 + 6x)

Solving
-20 + -15x = 14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + -15x + -6x = 14 + 6x + -6x

Combine like terms: -15x + -6x = -21x
-20 + -21x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -21x = 14 + 0
-20 + -21x = 14

Add '20' to each side of the equation.
-20 + 20 + -21x = 14 + 20

Combine like terms: -20 + 20 = 0
0 + -21x = 14 + 20
-21x = 14 + 20

Combine like terms: 14 + 20 = 34
-21x = 34

Divide each side by '-21'.
x = -1.619047619

Simplifying
x = -1.619047619

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