5[4+x]=3[4x-1]-26

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Solution for 5[4+x]=3[4x-1]-26 equation:


Simplifying
5[4 + x] = 3[4x + -1] + -26
[4 * 5 + x * 5] = 3[4x + -1] + -26
[20 + 5x] = 3[4x + -1] + -26

Reorder the terms:
20 + 5x = 3[-1 + 4x] + -26
20 + 5x = [-1 * 3 + 4x * 3] + -26
20 + 5x = [-3 + 12x] + -26

Reorder the terms:
20 + 5x = -3 + -26 + 12x

Combine like terms: -3 + -26 = -29
20 + 5x = -29 + 12x

Solving
20 + 5x = -29 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
20 + 5x + -12x = -29 + 12x + -12x

Combine like terms: 5x + -12x = -7x
20 + -7x = -29 + 12x + -12x

Combine like terms: 12x + -12x = 0
20 + -7x = -29 + 0
20 + -7x = -29

Add '-20' to each side of the equation.
20 + -20 + -7x = -29 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -29 + -20
-7x = -29 + -20

Combine like terms: -29 + -20 = -49
-7x = -49

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

Simplifying
x = 7

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