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

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


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

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

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

Solving
-12 + 4x = 5 + -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.
-12 + 4x + 2x = 5 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-12 + 6x = 5 + -2x + 2x

Combine like terms: -2x + 2x = 0
-12 + 6x = 5 + 0
-12 + 6x = 5

Add '12' to each side of the equation.
-12 + 12 + 6x = 5 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 5 + 12
6x = 5 + 12

Combine like terms: 5 + 12 = 17
6x = 17

Divide each side by '6'.
x = 2.833333333

Simplifying
x = 2.833333333

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