2x-4+5(x+1)=-2x-3

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Solution for 2x-4+5(x+1)=-2x-3 equation:


Simplifying
2x + -4 + 5(x + 1) = -2x + -3

Reorder the terms:
2x + -4 + 5(1 + x) = -2x + -3
2x + -4 + (1 * 5 + x * 5) = -2x + -3
2x + -4 + (5 + 5x) = -2x + -3

Reorder the terms:
-4 + 5 + 2x + 5x = -2x + -3

Combine like terms: -4 + 5 = 1
1 + 2x + 5x = -2x + -3

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

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

Solving
1 + 7x = -3 + -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.
1 + 7x + 2x = -3 + -2x + 2x

Combine like terms: 7x + 2x = 9x
1 + 9x = -3 + -2x + 2x

Combine like terms: -2x + 2x = 0
1 + 9x = -3 + 0
1 + 9x = -3

Add '-1' to each side of the equation.
1 + -1 + 9x = -3 + -1

Combine like terms: 1 + -1 = 0
0 + 9x = -3 + -1
9x = -3 + -1

Combine like terms: -3 + -1 = -4
9x = -4

Divide each side by '9'.
x = -0.4444444444

Simplifying
x = -0.4444444444

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