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

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


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

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

Combine like terms: 2 + -12 = -10
-10 + 3x = 3 + 4(x + -2)

Reorder the terms:
-10 + 3x = 3 + 4(-2 + x)
-10 + 3x = 3 + (-2 * 4 + x * 4)
-10 + 3x = 3 + (-8 + 4x)

Combine like terms: 3 + -8 = -5
-10 + 3x = -5 + 4x

Solving
-10 + 3x = -5 + 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.
-10 + 3x + -4x = -5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-10 + -1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 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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