10-2x=3(x-2)+4

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Solution for 10-2x=3(x-2)+4 equation: 


Simplifying
10 + -2x = 3(x + -2) + 4

Reorder the terms:
10 + -2x = 3(-2 + x) + 4
10 + -2x = (-2 * 3 + x * 3) + 4
10 + -2x = (-6 + 3x) + 4

Reorder the terms:
10 + -2x = -6 + 4 + 3x

Combine like terms: -6 + 4 = -2
10 + -2x = -2 + 3x

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

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

Combine like terms: 3x + -3x = 0
10 + -5x = -2 + 0
10 + -5x = -2

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

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

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

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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