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

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


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

Reorder the terms:
2 + 3(-5 + x) = 4(x + -1)
2 + (-5 * 3 + x * 3) = 4(x + -1)
2 + (-15 + 3x) = 4(x + -1)

Combine like terms: 2 + -15 = -13
-13 + 3x = 4(x + -1)

Reorder the terms:
-13 + 3x = 4(-1 + x)
-13 + 3x = (-1 * 4 + x * 4)
-13 + 3x = (-4 + 4x)

Solving
-13 + 3x = -4 + 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.
-13 + 3x + -4x = -4 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-13 + -1x = -4 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -1x = -4 + 0
-13 + -1x = -4

Add '13' to each side of the equation.
-13 + 13 + -1x = -4 + 13

Combine like terms: -13 + 13 = 0
0 + -1x = -4 + 13
-1x = -4 + 13

Combine like terms: -4 + 13 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9

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