5-2(4-3x)+x=4(x-3)

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Solution for 5-2(4-3x)+x=4(x-3) equation:


Simplifying
5 + -2(4 + -3x) + x = 4(x + -3)
5 + (4 * -2 + -3x * -2) + x = 4(x + -3)
5 + (-8 + 6x) + x = 4(x + -3)

Combine like terms: 5 + -8 = -3
-3 + 6x + x = 4(x + -3)

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

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

Solving
-3 + 7x = -12 + 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.
-3 + 7x + -4x = -12 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-3 + 3x = -12 + 0
-3 + 3x = -12

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

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

Combine like terms: -12 + 3 = -9
3x = -9

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

Simplifying
x = -3

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