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

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


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

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

Combine like terms: -3x + 7x = 4x
9 + 4x = 6x + -4

Reorder the terms:
9 + 4x = -4 + 6x

Solving
9 + 4x = -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.
9 + 4x + -6x = -4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
9 + -2x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
9 + -2x = -4 + 0
9 + -2x = -4

Add '-9' to each side of the equation.
9 + -9 + -2x = -4 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = -4 + -9
-2x = -4 + -9

Combine like terms: -4 + -9 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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