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

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


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

Reorder the terms:
4(-7 + 3x) = -3(-2x) + -4
(-7 * 4 + 3x * 4) = -3(-2x) + -4
(-28 + 12x) = -3(-2x) + -4

Remove parenthesis around (-2x)
-28 + 12x = -3 * -2x + -4

Multiply -3 * -2
-28 + 12x = 6x + -4

Reorder the terms:
-28 + 12x = -4 + 6x

Solving
-28 + 12x = -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.
-28 + 12x + -6x = -4 + 6x + -6x

Combine like terms: 12x + -6x = 6x
-28 + 6x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
-28 + 6x = -4 + 0
-28 + 6x = -4

Add '28' to each side of the equation.
-28 + 28 + 6x = -4 + 28

Combine like terms: -28 + 28 = 0
0 + 6x = -4 + 28
6x = -4 + 28

Combine like terms: -4 + 28 = 24
6x = 24

Divide each side by '6'.
x = 4

Simplifying
x = 4

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