2(x+4)-7=3x-5(x+1)

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Solution for 2(x+4)-7=3x-5(x+1) equation:


Simplifying
2(x + 4) + -7 = 3x + -5(x + 1)

Reorder the terms:
2(4 + x) + -7 = 3x + -5(x + 1)
(4 * 2 + x * 2) + -7 = 3x + -5(x + 1)
(8 + 2x) + -7 = 3x + -5(x + 1)

Reorder the terms:
8 + -7 + 2x = 3x + -5(x + 1)

Combine like terms: 8 + -7 = 1
1 + 2x = 3x + -5(x + 1)

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

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

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

Solving
1 + 2x = -5 + -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 + 2x + 2x = -5 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
1 + 4x = -5 + 0
1 + 4x = -5

Add '-1' to each side of the equation.
1 + -1 + 4x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = -5 + -1
4x = -5 + -1

Combine like terms: -5 + -1 = -6
4x = -6

Divide each side by '4'.
x = -1.5

Simplifying
x = -1.5

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