2(x-5)=-3(x-1)-48

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Solution for 2(x-5)=-3(x-1)-48 equation: 


Simplifying
2(x + -5) = -3(x + -1) + -48

Reorder the terms:
2(-5 + x) = -3(x + -1) + -48
(-5 * 2 + x * 2) = -3(x + -1) + -48
(-10 + 2x) = -3(x + -1) + -48

Reorder the terms:
-10 + 2x = -3(-1 + x) + -48
-10 + 2x = (-1 * -3 + x * -3) + -48
-10 + 2x = (3 + -3x) + -48

Reorder the terms:
-10 + 2x = 3 + -48 + -3x

Combine like terms: 3 + -48 = -45
-10 + 2x = -45 + -3x

Solving
-10 + 2x = -45 + -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.
-10 + 2x + 3x = -45 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-10 + 5x = -45 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 5x = -45 + 0
-10 + 5x = -45

Add '10' to each side of the equation.
-10 + 10 + 5x = -45 + 10

Combine like terms: -10 + 10 = 0
0 + 5x = -45 + 10
5x = -45 + 10

Combine like terms: -45 + 10 = -35
5x = -35

Divide each side by '5'.
x = -7

Simplifying
x = -7

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