3(x-2)-4(3-x)=-15

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Solution for 3(x-2)-4(3-x)=-15 equation:


Simplifying
3(x + -2) + -4(3 + -1x) = -15

Reorder the terms:
3(-2 + x) + -4(3 + -1x) = -15
(-2 * 3 + x * 3) + -4(3 + -1x) = -15
(-6 + 3x) + -4(3 + -1x) = -15
-6 + 3x + (3 * -4 + -1x * -4) = -15
-6 + 3x + (-12 + 4x) = -15

Reorder the terms:
-6 + -12 + 3x + 4x = -15

Combine like terms: -6 + -12 = -18
-18 + 3x + 4x = -15

Combine like terms: 3x + 4x = 7x
-18 + 7x = -15

Solving
-18 + 7x = -15

Solving for variable 'x'.

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

Add '18' to each side of the equation.
-18 + 18 + 7x = -15 + 18

Combine like terms: -18 + 18 = 0
0 + 7x = -15 + 18
7x = -15 + 18

Combine like terms: -15 + 18 = 3
7x = 3

Divide each side by '7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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