4(x-5)+2=3(x-1)

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Solution for 4(x-5)+2=3(x-1) equation: 


Simplifying
4(x + -5) + 2 = 3(x + -1)

Reorder the terms:
4(-5 + x) + 2 = 3(x + -1)
(-5 * 4 + x * 4) + 2 = 3(x + -1)
(-20 + 4x) + 2 = 3(x + -1)

Reorder the terms:
-20 + 2 + 4x = 3(x + -1)

Combine like terms: -20 + 2 = -18
-18 + 4x = 3(x + -1)

Reorder the terms:
-18 + 4x = 3(-1 + x)
-18 + 4x = (-1 * 3 + x * 3)
-18 + 4x = (-3 + 3x)

Solving
-18 + 4x = -3 + 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.
-18 + 4x + -3x = -3 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-18 + 1x = -3 + 3x + -3x

Combine like terms: 3x + -3x = 0
-18 + 1x = -3 + 0
-18 + 1x = -3

Add '18' to each side of the equation.
-18 + 18 + 1x = -3 + 18

Combine like terms: -18 + 18 = 0
0 + 1x = -3 + 18
1x = -3 + 18

Combine like terms: -3 + 18 = 15
1x = 15

Divide each side by '1'.
x = 15

Simplifying
x = 15

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