3(x-5)+4(3-x)=7

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Solution for 3(x-5)+4(3-x)=7 equation: 


Simplifying
3(x + -5) + 4(3 + -1x) = 7

Reorder the terms:
3(-5 + x) + 4(3 + -1x) = 7
(-5 * 3 + x * 3) + 4(3 + -1x) = 7
(-15 + 3x) + 4(3 + -1x) = 7
-15 + 3x + (3 * 4 + -1x * 4) = 7
-15 + 3x + (12 + -4x) = 7

Reorder the terms:
-15 + 12 + 3x + -4x = 7

Combine like terms: -15 + 12 = -3
-3 + 3x + -4x = 7

Combine like terms: 3x + -4x = -1x
-3 + -1x = 7

Solving
-3 + -1x = 7

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 7 + 3
-1x = 7 + 3

Combine like terms: 7 + 3 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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