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

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


Simplifying
-6(4 + -3x) + -7 = -2(2 + -3x)
(4 * -6 + -3x * -6) + -7 = -2(2 + -3x)
(-24 + 18x) + -7 = -2(2 + -3x)

Reorder the terms:
-24 + -7 + 18x = -2(2 + -3x)

Combine like terms: -24 + -7 = -31
-31 + 18x = -2(2 + -3x)
-31 + 18x = (2 * -2 + -3x * -2)
-31 + 18x = (-4 + 6x)

Solving
-31 + 18x = -4 + 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.
-31 + 18x + -6x = -4 + 6x + -6x

Combine like terms: 18x + -6x = 12x
-31 + 12x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-31 + 12x = -4 + 0
-31 + 12x = -4

Add '31' to each side of the equation.
-31 + 31 + 12x = -4 + 31

Combine like terms: -31 + 31 = 0
0 + 12x = -4 + 31
12x = -4 + 31

Combine like terms: -4 + 31 = 27
12x = 27

Divide each side by '12'.
x = 2.25

Simplifying
x = 2.25

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