7(x-2)=4x+1

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


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

Reorder the terms:
7(-2 + x) = 4x + 1
(-2 * 7 + x * 7) = 4x + 1
(-14 + 7x) = 4x + 1

Reorder the terms:
-14 + 7x = 1 + 4x

Solving
-14 + 7x = 1 + 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.
-14 + 7x + -4x = 1 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-14 + 3x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 3x = 1 + 0
-14 + 3x = 1

Add '14' to each side of the equation.
-14 + 14 + 3x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 1 + 14
3x = 1 + 14

Combine like terms: 1 + 14 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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