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

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


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

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

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

Combine like terms: 4x + 2x = 6x
-7 + 3x = -12 + 6x

Solving
-7 + 3x = -12 + 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.
-7 + 3x + -6x = -12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-7 + -3x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -3x = -12 + 0
-7 + -3x = -12

Add '7' to each side of the equation.
-7 + 7 + -3x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -12 + 7
-3x = -12 + 7

Combine like terms: -12 + 7 = -5
-3x = -5

Divide each side by '-3'.
x = 1.666666667

Simplifying
x = 1.666666667

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