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

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


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

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

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

Combine like terms: 3x + -2x = 1x
-6 + 1x = 4x + -7

Reorder the terms:
-6 + 1x = -7 + 4x

Solving
-6 + 1x = -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.
-6 + 1x + -4x = -7 + 4x + -4x

Combine like terms: 1x + -4x = -3x
-6 + -3x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-6 + -3x = -7 + 0
-6 + -3x = -7

Add '6' to each side of the equation.
-6 + 6 + -3x = -7 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -7 + 6
-3x = -7 + 6

Combine like terms: -7 + 6 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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