7-4(3x-5)-6x=3x+2

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Solution for 7-4(3x-5)-6x=3x+2 equation:


Simplifying
7 + -4(3x + -5) + -6x = 3x + 2

Reorder the terms:
7 + -4(-5 + 3x) + -6x = 3x + 2
7 + (-5 * -4 + 3x * -4) + -6x = 3x + 2
7 + (20 + -12x) + -6x = 3x + 2

Combine like terms: 7 + 20 = 27
27 + -12x + -6x = 3x + 2

Combine like terms: -12x + -6x = -18x
27 + -18x = 3x + 2

Reorder the terms:
27 + -18x = 2 + 3x

Solving
27 + -18x = 2 + 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.
27 + -18x + -3x = 2 + 3x + -3x

Combine like terms: -18x + -3x = -21x
27 + -21x = 2 + 3x + -3x

Combine like terms: 3x + -3x = 0
27 + -21x = 2 + 0
27 + -21x = 2

Add '-27' to each side of the equation.
27 + -27 + -21x = 2 + -27

Combine like terms: 27 + -27 = 0
0 + -21x = 2 + -27
-21x = 2 + -27

Combine like terms: 2 + -27 = -25
-21x = -25

Divide each side by '-21'.
x = 1.19047619

Simplifying
x = 1.19047619

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