7(x-3)+3(4-x)=-8

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Solution for 7(x-3)+3(4-x)=-8 equation: 


Simplifying
7(x + -3) + 3(4 + -1x) = -8

Reorder the terms:
7(-3 + x) + 3(4 + -1x) = -8
(-3 * 7 + x * 7) + 3(4 + -1x) = -8
(-21 + 7x) + 3(4 + -1x) = -8
-21 + 7x + (4 * 3 + -1x * 3) = -8
-21 + 7x + (12 + -3x) = -8

Reorder the terms:
-21 + 12 + 7x + -3x = -8

Combine like terms: -21 + 12 = -9
-9 + 7x + -3x = -8

Combine like terms: 7x + -3x = 4x
-9 + 4x = -8

Solving
-9 + 4x = -8

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 4x = -8 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = -8 + 9
4x = -8 + 9

Combine like terms: -8 + 9 = 1
4x = 1

Divide each side by '4'.
x = 0.25

Simplifying
x = 0.25

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