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

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


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

Reorder the terms:
4[-5 + x] = -3[x + -5]
[-5 * 4 + x * 4] = -3[x + -5]
[-20 + 4x] = -3[x + -5]

Reorder the terms:
-20 + 4x = -3[-5 + x]
-20 + 4x = [-5 * -3 + x * -3]
-20 + 4x = [15 + -3x]

Solving
-20 + 4x = 15 + -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.
-20 + 4x + 3x = 15 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-20 + 7x = 15 + -3x + 3x

Combine like terms: -3x + 3x = 0
-20 + 7x = 15 + 0
-20 + 7x = 15

Add '20' to each side of the equation.
-20 + 20 + 7x = 15 + 20

Combine like terms: -20 + 20 = 0
0 + 7x = 15 + 20
7x = 15 + 20

Combine like terms: 15 + 20 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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