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

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


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

Reorder the terms:
-3(4 + x) + 5 = 2(x + 1)
(4 * -3 + x * -3) + 5 = 2(x + 1)
(-12 + -3x) + 5 = 2(x + 1)

Reorder the terms:
-12 + 5 + -3x = 2(x + 1)

Combine like terms: -12 + 5 = -7
-7 + -3x = 2(x + 1)

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

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

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

Combine like terms: 2x + -2x = 0
-7 + -5x = 2 + 0
-7 + -5x = 2

Add '7' to each side of the equation.
-7 + 7 + -5x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = 2 + 7
-5x = 2 + 7

Combine like terms: 2 + 7 = 9
-5x = 9

Divide each side by '-5'.
x = -1.8

Simplifying
x = -1.8

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