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

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


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

Reorder the terms:
x + -4[-7 + 2x] = 3x + -2
x + [-7 * -4 + 2x * -4] = 3x + -2
x + [28 + -8x] = 3x + -2

Reorder the terms:
28 + x + -8x = 3x + -2

Combine like terms: x + -8x = -7x
28 + -7x = 3x + -2

Reorder the terms:
28 + -7x = -2 + 3x

Solving
28 + -7x = -2 + 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.
28 + -7x + -3x = -2 + 3x + -3x

Combine like terms: -7x + -3x = -10x
28 + -10x = -2 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + -10x = -2 + 0
28 + -10x = -2

Add '-28' to each side of the equation.
28 + -28 + -10x = -2 + -28

Combine like terms: 28 + -28 = 0
0 + -10x = -2 + -28
-10x = -2 + -28

Combine like terms: -2 + -28 = -30
-10x = -30

Divide each side by '-10'.
x = 3

Simplifying
x = 3

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