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

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


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

Reorder the terms:
4(-3 + x) + 2 = 10 + -3(x + 2)
(-3 * 4 + x * 4) + 2 = 10 + -3(x + 2)
(-12 + 4x) + 2 = 10 + -3(x + 2)

Reorder the terms:
-12 + 2 + 4x = 10 + -3(x + 2)

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

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

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

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

Combine like terms: 4x + 3x = 7x
-10 + 7x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
-10 + 7x = 4 + 0
-10 + 7x = 4

Add '10' to each side of the equation.
-10 + 10 + 7x = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 7x = 4 + 10
7x = 4 + 10

Combine like terms: 4 + 10 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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