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

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


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

Reorder the terms:
4(-3 + x) + -2x = x + -1(7 + -3x)
(-3 * 4 + x * 4) + -2x = x + -1(7 + -3x)
(-12 + 4x) + -2x = x + -1(7 + -3x)

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

Reorder the terms:
-12 + 2x = -7 + x + 3x

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

Solving
-12 + 2x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 2x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-12 + -2x = -7 + 0
-12 + -2x = -7

Add '12' to each side of the equation.
-12 + 12 + -2x = -7 + 12

Combine like terms: -12 + 12 = 0
0 + -2x = -7 + 12
-2x = -7 + 12

Combine like terms: -7 + 12 = 5
-2x = 5

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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