4[2-3x]=7-2[x-3]

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Solution for 4[2-3x]=7-2[x-3] equation: 


Simplifying
4[2 + -3x] = 7 + -2[x + -3]
[2 * 4 + -3x * 4] = 7 + -2[x + -3]
[8 + -12x] = 7 + -2[x + -3]

Reorder the terms:
8 + -12x = 7 + -2[-3 + x]
8 + -12x = 7 + [-3 * -2 + x * -2]
8 + -12x = 7 + [6 + -2x]

Combine like terms: 7 + 6 = 13
8 + -12x = 13 + -2x

Solving
8 + -12x = 13 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
8 + -12x + 2x = 13 + -2x + 2x

Combine like terms: -12x + 2x = -10x
8 + -10x = 13 + -2x + 2x

Combine like terms: -2x + 2x = 0
8 + -10x = 13 + 0
8 + -10x = 13

Add '-8' to each side of the equation.
8 + -8 + -10x = 13 + -8

Combine like terms: 8 + -8 = 0
0 + -10x = 13 + -8
-10x = 13 + -8

Combine like terms: 13 + -8 = 5
-10x = 5

Divide each side by '-10'.
x = -0.5

Simplifying
x = -0.5

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