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

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


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

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

Reorder the terms:
-4 + 1 + 4x = 2x + 7

Combine like terms: -4 + 1 = -3
-3 + 4x = 2x + 7

Reorder the terms:
-3 + 4x = 7 + 2x

Solving
-3 + 4x = 7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-3 + 4x + -2x = 7 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-3 + 2x = 7 + 2x + -2x

Combine like terms: 2x + -2x = 0
-3 + 2x = 7 + 0
-3 + 2x = 7

Add '3' to each side of the equation.
-3 + 3 + 2x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = 7 + 3
2x = 7 + 3

Combine like terms: 7 + 3 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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