2+3(x-4)=2x-5

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Solution for 2+3(x-4)=2x-5 equation:


Simplifying
2 + 3(x + -4) = 2x + -5

Reorder the terms:
2 + 3(-4 + x) = 2x + -5
2 + (-4 * 3 + x * 3) = 2x + -5
2 + (-12 + 3x) = 2x + -5

Combine like terms: 2 + -12 = -10
-10 + 3x = 2x + -5

Reorder the terms:
-10 + 3x = -5 + 2x

Solving
-10 + 3x = -5 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-10 + 3x + -2x = -5 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-10 + 1x = -5 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 1x = -5 + 0
-10 + 1x = -5

Add '10' to each side of the equation.
-10 + 10 + 1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 1x = -5 + 10
1x = -5 + 10

Combine like terms: -5 + 10 = 5
1x = 5

Divide each side by '1'.
x = 5

Simplifying
x = 5

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