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

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


Simplifying
6(x + -4) + -4(x + -3) + 5 = 0

Reorder the terms:
6(-4 + x) + -4(x + -3) + 5 = 0
(-4 * 6 + x * 6) + -4(x + -3) + 5 = 0
(-24 + 6x) + -4(x + -3) + 5 = 0

Reorder the terms:
-24 + 6x + -4(-3 + x) + 5 = 0
-24 + 6x + (-3 * -4 + x * -4) + 5 = 0
-24 + 6x + (12 + -4x) + 5 = 0

Reorder the terms:
-24 + 12 + 5 + 6x + -4x = 0

Combine like terms: -24 + 12 = -12
-12 + 5 + 6x + -4x = 0

Combine like terms: -12 + 5 = -7
-7 + 6x + -4x = 0

Combine like terms: 6x + -4x = 2x
-7 + 2x = 0

Solving
-7 + 2x = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 2x = 0 + 7

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

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

Divide each side by '2'.
x = 3.5

Simplifying
x = 3.5

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