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

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


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

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

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

Combine like terms: -15 + -2 = -17
-17 + -3x = -4(x + -2)

Reorder the terms:
-17 + -3x = -4(-2 + x)
-17 + -3x = (-2 * -4 + x * -4)
-17 + -3x = (8 + -4x)

Solving
-17 + -3x = 8 + -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.
-17 + -3x + 4x = 8 + -4x + 4x

Combine like terms: -3x + 4x = 1x
-17 + 1x = 8 + -4x + 4x

Combine like terms: -4x + 4x = 0
-17 + 1x = 8 + 0
-17 + 1x = 8

Add '17' to each side of the equation.
-17 + 17 + 1x = 8 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = 8 + 17
1x = 8 + 17

Combine like terms: 8 + 17 = 25
1x = 25

Divide each side by '1'.
x = 25

Simplifying
x = 25

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