-3(x+2)+4=7(x+2)+6

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Solution for -3(x+2)+4=7(x+2)+6 equation:


Simplifying
-3(x + 2) + 4 = 7(x + 2) + 6

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

Reorder the terms:
-6 + 4 + -3x = 7(x + 2) + 6

Combine like terms: -6 + 4 = -2
-2 + -3x = 7(x + 2) + 6

Reorder the terms:
-2 + -3x = 7(2 + x) + 6
-2 + -3x = (2 * 7 + x * 7) + 6
-2 + -3x = (14 + 7x) + 6

Reorder the terms:
-2 + -3x = 14 + 6 + 7x

Combine like terms: 14 + 6 = 20
-2 + -3x = 20 + 7x

Solving
-2 + -3x = 20 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-2 + -3x + -7x = 20 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-2 + -10x = 20 + 7x + -7x

Combine like terms: 7x + -7x = 0
-2 + -10x = 20 + 0
-2 + -10x = 20

Add '2' to each side of the equation.
-2 + 2 + -10x = 20 + 2

Combine like terms: -2 + 2 = 0
0 + -10x = 20 + 2
-10x = 20 + 2

Combine like terms: 20 + 2 = 22
-10x = 22

Divide each side by '-10'.
x = -2.2

Simplifying
x = -2.2

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