3x-4(2x+7)=3x+1

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Solution for 3x-4(2x+7)=3x+1 equation:


Simplifying
3x + -4(2x + 7) = 3x + 1

Reorder the terms:
3x + -4(7 + 2x) = 3x + 1
3x + (7 * -4 + 2x * -4) = 3x + 1
3x + (-28 + -8x) = 3x + 1

Reorder the terms:
-28 + 3x + -8x = 3x + 1

Combine like terms: 3x + -8x = -5x
-28 + -5x = 3x + 1

Reorder the terms:
-28 + -5x = 1 + 3x

Solving
-28 + -5x = 1 + 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.
-28 + -5x + -3x = 1 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-28 + -8x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
-28 + -8x = 1 + 0
-28 + -8x = 1

Add '28' to each side of the equation.
-28 + 28 + -8x = 1 + 28

Combine like terms: -28 + 28 = 0
0 + -8x = 1 + 28
-8x = 1 + 28

Combine like terms: 1 + 28 = 29
-8x = 29

Divide each side by '-8'.
x = -3.625

Simplifying
x = -3.625

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