-1+3x+6=4(x+3)-5

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Solution for -1+3x+6=4(x+3)-5 equation:


Simplifying
-1 + 3x + 6 = 4(x + 3) + -5

Reorder the terms:
-1 + 6 + 3x = 4(x + 3) + -5

Combine like terms: -1 + 6 = 5
5 + 3x = 4(x + 3) + -5

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

Reorder the terms:
5 + 3x = 12 + -5 + 4x

Combine like terms: 12 + -5 = 7
5 + 3x = 7 + 4x

Solving
5 + 3x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
5 + 3x + -4x = 7 + 4x + -4x

Combine like terms: 3x + -4x = -1x
5 + -1x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
5 + -1x = 7 + 0
5 + -1x = 7

Add '-5' to each side of the equation.
5 + -5 + -1x = 7 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 7 + -5
-1x = 7 + -5

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

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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