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

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


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

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

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

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

Solving
-6 + 7x = 7 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-6 + 7x + 2x = 7 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-6 + 9x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 9x = 7 + 0
-6 + 9x = 7

Add '6' to each side of the equation.
-6 + 6 + 9x = 7 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 7 + 6
9x = 7 + 6

Combine like terms: 7 + 6 = 13
9x = 13

Divide each side by '9'.
x = 1.444444444

Simplifying
x = 1.444444444

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