8x-(7x+4)=3x-28

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Solution for 8x-(7x+4)=3x-28 equation:


Simplifying
8x + -1(7x + 4) = 3x + -28

Reorder the terms:
8x + -1(4 + 7x) = 3x + -28
8x + (4 * -1 + 7x * -1) = 3x + -28
8x + (-4 + -7x) = 3x + -28

Reorder the terms:
-4 + 8x + -7x = 3x + -28

Combine like terms: 8x + -7x = 1x
-4 + 1x = 3x + -28

Reorder the terms:
-4 + 1x = -28 + 3x

Solving
-4 + 1x = -28 + 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.
-4 + 1x + -3x = -28 + 3x + -3x

Combine like terms: 1x + -3x = -2x
-4 + -2x = -28 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -2x = -28 + 0
-4 + -2x = -28

Add '4' to each side of the equation.
-4 + 4 + -2x = -28 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = -28 + 4
-2x = -28 + 4

Combine like terms: -28 + 4 = -24
-2x = -24

Divide each side by '-2'.
x = 12

Simplifying
x = 12

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