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

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


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

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

Remove parenthesis around (-2 + x)
-2 + x + 7 = 4(x + 1) + -2

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

Combine like terms: -2 + 7 = 5
5 + x = 4(x + 1) + -2

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

Reorder the terms:
5 + x = 4 + -2 + 4x

Combine like terms: 4 + -2 = 2
5 + x = 2 + 4x

Solving
5 + x = 2 + 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.
5 + x + -4x = 2 + 4x + -4x

Combine like terms: x + -4x = -3x
5 + -3x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -3x = 2 + 0
5 + -3x = 2

Add '-5' to each side of the equation.
5 + -5 + -3x = 2 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 2 + -5
-3x = 2 + -5

Combine like terms: 2 + -5 = -3
-3x = -3

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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