2-3(x-4)=4x-7

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Solution for 2-3(x-4)=4x-7 equation:


Simplifying
2 + -3(x + -4) = 4x + -7

Reorder the terms:
2 + -3(-4 + x) = 4x + -7
2 + (-4 * -3 + x * -3) = 4x + -7
2 + (12 + -3x) = 4x + -7

Combine like terms: 2 + 12 = 14
14 + -3x = 4x + -7

Reorder the terms:
14 + -3x = -7 + 4x

Solving
14 + -3x = -7 + 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.
14 + -3x + -4x = -7 + 4x + -4x

Combine like terms: -3x + -4x = -7x
14 + -7x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + -7x = -7 + 0
14 + -7x = -7

Add '-14' to each side of the equation.
14 + -14 + -7x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + -7x = -7 + -14
-7x = -7 + -14

Combine like terms: -7 + -14 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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