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

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


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

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

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

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

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

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

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

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

Combine like terms: -3x + 3x = 0
-3 + 2x = -7 + 0
-3 + 2x = -7

Add '3' to each side of the equation.
-3 + 3 + 2x = -7 + 3

Combine like terms: -3 + 3 = 0
0 + 2x = -7 + 3
2x = -7 + 3

Combine like terms: -7 + 3 = -4
2x = -4

Divide each side by '2'.
x = -2

Simplifying
x = -2

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