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

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


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

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

Reorder the terms:
-12 + 5 + 4x = x + -2

Combine like terms: -12 + 5 = -7
-7 + 4x = x + -2

Reorder the terms:
-7 + 4x = -2 + x

Solving
-7 + 4x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-7 + 4x + -1x = -2 + x + -1x

Combine like terms: 4x + -1x = 3x
-7 + 3x = -2 + x + -1x

Combine like terms: x + -1x = 0
-7 + 3x = -2 + 0
-7 + 3x = -2

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

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

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

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667

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