4(x-5)-1=3(x-12)

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Solution for 4(x-5)-1=3(x-12) equation:


Simplifying
4(x + -5) + -1 = 3(x + -12)

Reorder the terms:
4(-5 + x) + -1 = 3(x + -12)
(-5 * 4 + x * 4) + -1 = 3(x + -12)
(-20 + 4x) + -1 = 3(x + -12)

Reorder the terms:
-20 + -1 + 4x = 3(x + -12)

Combine like terms: -20 + -1 = -21
-21 + 4x = 3(x + -12)

Reorder the terms:
-21 + 4x = 3(-12 + x)
-21 + 4x = (-12 * 3 + x * 3)
-21 + 4x = (-36 + 3x)

Solving
-21 + 4x = -36 + 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.
-21 + 4x + -3x = -36 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-21 + 1x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-21 + 1x = -36 + 0
-21 + 1x = -36

Add '21' to each side of the equation.
-21 + 21 + 1x = -36 + 21

Combine like terms: -21 + 21 = 0
0 + 1x = -36 + 21
1x = -36 + 21

Combine like terms: -36 + 21 = -15
1x = -15

Divide each side by '1'.
x = -15

Simplifying
x = -15

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