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

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


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

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

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

Reorder the terms:
-13 + -3x = 4(-2 + x)
-13 + -3x = (-2 * 4 + x * 4)
-13 + -3x = (-8 + 4x)

Solving
-13 + -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.
-13 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-13 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -7x = -8 + 0
-13 + -7x = -8

Add '13' to each side of the equation.
-13 + 13 + -7x = -8 + 13

Combine like terms: -13 + 13 = 0
0 + -7x = -8 + 13
-7x = -8 + 13

Combine like terms: -8 + 13 = 5
-7x = 5

Divide each side by '-7'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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