4-(x-3)+2(3x-5)=7

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Solution for 4-(x-3)+2(3x-5)=7 equation: 


Simplifying
4 + -1(x + -3) + 2(3x + -5) = 7

Reorder the terms:
4 + -1(-3 + x) + 2(3x + -5) = 7
4 + (-3 * -1 + x * -1) + 2(3x + -5) = 7
4 + (3 + -1x) + 2(3x + -5) = 7

Reorder the terms:
4 + 3 + -1x + 2(-5 + 3x) = 7
4 + 3 + -1x + (-5 * 2 + 3x * 2) = 7
4 + 3 + -1x + (-10 + 6x) = 7

Reorder the terms:
4 + 3 + -10 + -1x + 6x = 7

Combine like terms: 4 + 3 = 7
7 + -10 + -1x + 6x = 7

Combine like terms: 7 + -10 = -3
-3 + -1x + 6x = 7

Combine like terms: -1x + 6x = 5x
-3 + 5x = 7

Solving
-3 + 5x = 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 + 5x = 7 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 7 + 3
5x = 7 + 3

Combine like terms: 7 + 3 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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