7x-1=5(x+1)-3(x+2)

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Solution for 7x-1=5(x+1)-3(x+2) equation:


Simplifying
7x + -1 = 5(x + 1) + -3(x + 2)

Reorder the terms:
-1 + 7x = 5(x + 1) + -3(x + 2)

Reorder the terms:
-1 + 7x = 5(1 + x) + -3(x + 2)
-1 + 7x = (1 * 5 + x * 5) + -3(x + 2)
-1 + 7x = (5 + 5x) + -3(x + 2)

Reorder the terms:
-1 + 7x = 5 + 5x + -3(2 + x)
-1 + 7x = 5 + 5x + (2 * -3 + x * -3)
-1 + 7x = 5 + 5x + (-6 + -3x)

Reorder the terms:
-1 + 7x = 5 + -6 + 5x + -3x

Combine like terms: 5 + -6 = -1
-1 + 7x = -1 + 5x + -3x

Combine like terms: 5x + -3x = 2x
-1 + 7x = -1 + 2x

Add '1' to each side of the equation.
-1 + 1 + 7x = -1 + 1 + 2x

Combine like terms: -1 + 1 = 0
0 + 7x = -1 + 1 + 2x
7x = -1 + 1 + 2x

Combine like terms: -1 + 1 = 0
7x = 0 + 2x
7x = 2x

Solving
7x = 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.
7x + -2x = 2x + -2x

Combine like terms: 7x + -2x = 5x
5x = 2x + -2x

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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