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

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


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

Reorder the terms:
2 = 4(-3 + x) + -1(x + -5)
2 = (-3 * 4 + x * 4) + -1(x + -5)
2 = (-12 + 4x) + -1(x + -5)

Reorder the terms:
2 = -12 + 4x + -1(-5 + x)
2 = -12 + 4x + (-5 * -1 + x * -1)
2 = -12 + 4x + (5 + -1x)

Reorder the terms:
2 = -12 + 5 + 4x + -1x

Combine like terms: -12 + 5 = -7
2 = -7 + 4x + -1x

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

Solving
2 = -7 + 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.
2 + -3x = -7 + 3x + -3x

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

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

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

Combine like terms: -7 + -2 = -9
-3x = -9

Divide each side by '-3'.
x = 3

Simplifying
x = 3

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