27-46=4(x-1)-3

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Solution for 27-46=4(x-1)-3 equation:


Simplifying
27 + -46 = 4(x + -1) + -3

Combine like terms: 27 + -46 = -19
-19 = 4(x + -1) + -3

Reorder the terms:
-19 = 4(-1 + x) + -3
-19 = (-1 * 4 + x * 4) + -3
-19 = (-4 + 4x) + -3

Reorder the terms:
-19 = -4 + -3 + 4x

Combine like terms: -4 + -3 = -7
-19 = -7 + 4x

Solving
-19 = -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.
-19 + -4x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + -4x = -7 + 0
-19 + -4x = -7

Add '19' to each side of the equation.
-19 + 19 + -4x = -7 + 19

Combine like terms: -19 + 19 = 0
0 + -4x = -7 + 19
-4x = -7 + 19

Combine like terms: -7 + 19 = 12
-4x = 12

Divide each side by '-4'.
x = -3

Simplifying
x = -3

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