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

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


Simplifying
4 + -3(x + -3) = 7x + 6(2 + -1x)

Reorder the terms:
4 + -3(-3 + x) = 7x + 6(2 + -1x)
4 + (-3 * -3 + x * -3) = 7x + 6(2 + -1x)
4 + (9 + -3x) = 7x + 6(2 + -1x)

Combine like terms: 4 + 9 = 13
13 + -3x = 7x + 6(2 + -1x)
13 + -3x = 7x + (2 * 6 + -1x * 6)
13 + -3x = 7x + (12 + -6x)

Reorder the terms:
13 + -3x = 12 + 7x + -6x

Combine like terms: 7x + -6x = 1x
13 + -3x = 12 + 1x

Solving
13 + -3x = 12 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
13 + -3x + -1x = 12 + 1x + -1x

Combine like terms: -3x + -1x = -4x
13 + -4x = 12 + 1x + -1x

Combine like terms: 1x + -1x = 0
13 + -4x = 12 + 0
13 + -4x = 12

Add '-13' to each side of the equation.
13 + -13 + -4x = 12 + -13

Combine like terms: 13 + -13 = 0
0 + -4x = 12 + -13
-4x = 12 + -13

Combine like terms: 12 + -13 = -1
-4x = -1

Divide each side by '-4'.
x = 0.25

Simplifying
x = 0.25

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