7x+3(3x-2)=4x+8-10x-12

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Solution for 7x+3(3x-2)=4x+8-10x-12 equation:


Simplifying
7x + 3(3x + -2) = 4x + 8 + -10x + -12

Reorder the terms:
7x + 3(-2 + 3x) = 4x + 8 + -10x + -12
7x + (-2 * 3 + 3x * 3) = 4x + 8 + -10x + -12
7x + (-6 + 9x) = 4x + 8 + -10x + -12

Reorder the terms:
-6 + 7x + 9x = 4x + 8 + -10x + -12

Combine like terms: 7x + 9x = 16x
-6 + 16x = 4x + 8 + -10x + -12

Reorder the terms:
-6 + 16x = 8 + -12 + 4x + -10x

Combine like terms: 8 + -12 = -4
-6 + 16x = -4 + 4x + -10x

Combine like terms: 4x + -10x = -6x
-6 + 16x = -4 + -6x

Solving
-6 + 16x = -4 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-6 + 16x + 6x = -4 + -6x + 6x

Combine like terms: 16x + 6x = 22x
-6 + 22x = -4 + -6x + 6x

Combine like terms: -6x + 6x = 0
-6 + 22x = -4 + 0
-6 + 22x = -4

Add '6' to each side of the equation.
-6 + 6 + 22x = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 22x = -4 + 6
22x = -4 + 6

Combine like terms: -4 + 6 = 2
22x = 2

Divide each side by '22'.
x = 0.09090909091

Simplifying
x = 0.09090909091

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