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

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


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

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

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

Combine like terms: -4 + -4 = -8
-8 + 2x + 2x = 7x + 1

Combine like terms: 2x + 2x = 4x
-8 + 4x = 7x + 1

Reorder the terms:
-8 + 4x = 1 + 7x

Solving
-8 + 4x = 1 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-8 + 4x + -7x = 1 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-8 + -3x = 1 + 0
-8 + -3x = 1

Add '8' to each side of the equation.
-8 + 8 + -3x = 1 + 8

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

Combine like terms: 1 + 8 = 9
-3x = 9

Divide each side by '-3'.
x = -3

Simplifying
x = -3

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