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

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


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

Reorder the terms:
2(-4 + x) + 3 = 3x + -7
(-4 * 2 + x * 2) + 3 = 3x + -7
(-8 + 2x) + 3 = 3x + -7

Reorder the terms:
-8 + 3 + 2x = 3x + -7

Combine like terms: -8 + 3 = -5
-5 + 2x = 3x + -7

Reorder the terms:
-5 + 2x = -7 + 3x

Solving
-5 + 2x = -7 + 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.
-5 + 2x + -3x = -7 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = -7 + 0
-5 + -1x = -7

Add '5' to each side of the equation.
-5 + 5 + -1x = -7 + 5

Combine like terms: -5 + 5 = 0
0 + -1x = -7 + 5
-1x = -7 + 5

Combine like terms: -7 + 5 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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