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

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


Simplifying
-4(3 + -1x) + 5 = 2(x + -3)
(3 * -4 + -1x * -4) + 5 = 2(x + -3)
(-12 + 4x) + 5 = 2(x + -3)

Reorder the terms:
-12 + 5 + 4x = 2(x + -3)

Combine like terms: -12 + 5 = -7
-7 + 4x = 2(x + -3)

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

Solving
-7 + 4x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 4x + -2x = -6 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-7 + 2x = -6 + 0
-7 + 2x = -6

Add '7' to each side of the equation.
-7 + 7 + 2x = -6 + 7

Combine like terms: -7 + 7 = 0
0 + 2x = -6 + 7
2x = -6 + 7

Combine like terms: -6 + 7 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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