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

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


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

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

Reorder the terms:
-12 + 4x = 2(4 + x) + -5
-12 + 4x = (4 * 2 + x * 2) + -5
-12 + 4x = (8 + 2x) + -5

Reorder the terms:
-12 + 4x = 8 + -5 + 2x

Combine like terms: 8 + -5 = 3
-12 + 4x = 3 + 2x

Solving
-12 + 4x = 3 + 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 = 3 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-12 + 2x = 3 + 0
-12 + 2x = 3

Add '12' to each side of the equation.
-12 + 12 + 2x = 3 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = 3 + 12
2x = 3 + 12

Combine like terms: 3 + 12 = 15
2x = 15

Divide each side by '2'.
x = 7.5

Simplifying
x = 7.5

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