4(x-3)+6=2x-5

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Solution for 4(x-3)+6=2x-5 equation:


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

Reorder the terms:
4(-3 + x) + 6 = 2x + -5
(-3 * 4 + x * 4) + 6 = 2x + -5
(-12 + 4x) + 6 = 2x + -5

Reorder the terms:
-12 + 6 + 4x = 2x + -5

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

Reorder the terms:
-6 + 4x = -5 + 2x

Solving
-6 + 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.
-6 + 4x + -2x = -5 + 2x + -2x

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

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

Add '6' to each side of the equation.
-6 + 6 + 2x = -5 + 6

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

Combine like terms: -5 + 6 = 1
2x = 1

Divide each side by '2'.
x = 0.5

Simplifying
x = 0.5

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