4(2x+3)=3(1-4x)-28

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Solution for 4(2x+3)=3(1-4x)-28 equation:


Simplifying
4(2x + 3) = 3(1 + -4x) + -28

Reorder the terms:
4(3 + 2x) = 3(1 + -4x) + -28
(3 * 4 + 2x * 4) = 3(1 + -4x) + -28
(12 + 8x) = 3(1 + -4x) + -28
12 + 8x = (1 * 3 + -4x * 3) + -28
12 + 8x = (3 + -12x) + -28

Reorder the terms:
12 + 8x = 3 + -28 + -12x

Combine like terms: 3 + -28 = -25
12 + 8x = -25 + -12x

Solving
12 + 8x = -25 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
12 + 8x + 12x = -25 + -12x + 12x

Combine like terms: 8x + 12x = 20x
12 + 20x = -25 + -12x + 12x

Combine like terms: -12x + 12x = 0
12 + 20x = -25 + 0
12 + 20x = -25

Add '-12' to each side of the equation.
12 + -12 + 20x = -25 + -12

Combine like terms: 12 + -12 = 0
0 + 20x = -25 + -12
20x = -25 + -12

Combine like terms: -25 + -12 = -37
20x = -37

Divide each side by '20'.
x = -1.85

Simplifying
x = -1.85

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