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

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


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

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

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

Combine like terms: 5 + 4 = 9
9 + 7x + 4x = -1(-3x + 2)

Combine like terms: 7x + 4x = 11x
9 + 11x = -1(-3x + 2)

Reorder the terms:
9 + 11x = -1(2 + -3x)
9 + 11x = (2 * -1 + -3x * -1)
9 + 11x = (-2 + 3x)

Solving
9 + 11x = -2 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 11x + -3x = -2 + 3x + -3x

Combine like terms: 11x + -3x = 8x
9 + 8x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + 8x = -2 + 0
9 + 8x = -2

Add '-9' to each side of the equation.
9 + -9 + 8x = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 8x = -2 + -9
8x = -2 + -9

Combine like terms: -2 + -9 = -11
8x = -11

Divide each side by '8'.
x = -1.375

Simplifying
x = -1.375

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