2(x+5)-4(3x+2)=-48

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Solution for 2(x+5)-4(3x+2)=-48 equation: 


Simplifying
2(x + 5) + -4(3x + 2) = -48

Reorder the terms:
2(5 + x) + -4(3x + 2) = -48
(5 * 2 + x * 2) + -4(3x + 2) = -48
(10 + 2x) + -4(3x + 2) = -48

Reorder the terms:
10 + 2x + -4(2 + 3x) = -48
10 + 2x + (2 * -4 + 3x * -4) = -48
10 + 2x + (-8 + -12x) = -48

Reorder the terms:
10 + -8 + 2x + -12x = -48

Combine like terms: 10 + -8 = 2
2 + 2x + -12x = -48

Combine like terms: 2x + -12x = -10x
2 + -10x = -48

Solving
2 + -10x = -48

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -10x = -48 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = -48 + -2
-10x = -48 + -2

Combine like terms: -48 + -2 = -50
-10x = -50

Divide each side by '-10'.
x = 5

Simplifying
x = 5

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