3(x-14)+1=-4x+8

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Solution for 3(x-14)+1=-4x+8 equation:


Simplifying
3(x + -14) + 1 = -4x + 8

Reorder the terms:
3(-14 + x) + 1 = -4x + 8
(-14 * 3 + x * 3) + 1 = -4x + 8
(-42 + 3x) + 1 = -4x + 8

Reorder the terms:
-42 + 1 + 3x = -4x + 8

Combine like terms: -42 + 1 = -41
-41 + 3x = -4x + 8

Reorder the terms:
-41 + 3x = 8 + -4x

Solving
-41 + 3x = 8 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
-41 + 3x + 4x = 8 + -4x + 4x

Combine like terms: 3x + 4x = 7x
-41 + 7x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-41 + 7x = 8 + 0
-41 + 7x = 8

Add '41' to each side of the equation.
-41 + 41 + 7x = 8 + 41

Combine like terms: -41 + 41 = 0
0 + 7x = 8 + 41
7x = 8 + 41

Combine like terms: 8 + 41 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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