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

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


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

Reorder the terms:
3 + -2(-3 + x) = 4x + -7
3 + (-3 * -2 + x * -2) = 4x + -7
3 + (6 + -2x) = 4x + -7

Combine like terms: 3 + 6 = 9
9 + -2x = 4x + -7

Reorder the terms:
9 + -2x = -7 + 4x

Solving
9 + -2x = -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.
9 + -2x + -4x = -7 + 4x + -4x

Combine like terms: -2x + -4x = -6x
9 + -6x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + -6x = -7 + 0
9 + -6x = -7

Add '-9' to each side of the equation.
9 + -9 + -6x = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -6x = -7 + -9
-6x = -7 + -9

Combine like terms: -7 + -9 = -16
-6x = -16

Divide each side by '-6'.
x = 2.666666667

Simplifying
x = 2.666666667

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