-1+3x+9=4(x+1)-3

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Solution for -1+3x+9=4(x+1)-3 equation:


Simplifying
-1 + 3x + 9 = 4(x + 1) + -3

Reorder the terms:
-1 + 9 + 3x = 4(x + 1) + -3

Combine like terms: -1 + 9 = 8
8 + 3x = 4(x + 1) + -3

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

Reorder the terms:
8 + 3x = 4 + -3 + 4x

Combine like terms: 4 + -3 = 1
8 + 3x = 1 + 4x

Solving
8 + 3x = 1 + 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.
8 + 3x + -4x = 1 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = 1 + 0
8 + -1x = 1

Add '-8' to each side of the equation.
8 + -8 + -1x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 1 + -8
-1x = 1 + -8

Combine like terms: 1 + -8 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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