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

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


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

Reorder the terms:
3(-3 + x) + 2 = 4(x + -5)
(-3 * 3 + x * 3) + 2 = 4(x + -5)
(-9 + 3x) + 2 = 4(x + -5)

Reorder the terms:
-9 + 2 + 3x = 4(x + -5)

Combine like terms: -9 + 2 = -7
-7 + 3x = 4(x + -5)

Reorder the terms:
-7 + 3x = 4(-5 + x)
-7 + 3x = (-5 * 4 + x * 4)
-7 + 3x = (-20 + 4x)

Solving
-7 + 3x = -20 + 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.
-7 + 3x + -4x = -20 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-7 + -1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -1x = -20 + 0
-7 + -1x = -20

Add '7' to each side of the equation.
-7 + 7 + -1x = -20 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = -20 + 7
-1x = -20 + 7

Combine like terms: -20 + 7 = -13
-1x = -13

Divide each side by '-1'.
x = 13

Simplifying
x = 13

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