-3[5+x]=4[x-2]

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Solution for -3[5+x]=4[x-2] equation:


Simplifying
-3[5 + x] = 4[x + -2]
[5 * -3 + x * -3] = 4[x + -2]
[-15 + -3x] = 4[x + -2]

Reorder the terms:
-15 + -3x = 4[-2 + x]
-15 + -3x = [-2 * 4 + x * 4]
-15 + -3x = [-8 + 4x]

Solving
-15 + -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.
-15 + -3x + -4x = -8 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-15 + -7x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + -7x = -8 + 0
-15 + -7x = -8

Add '15' to each side of the equation.
-15 + 15 + -7x = -8 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = -8 + 15
-7x = -8 + 15

Combine like terms: -8 + 15 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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