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

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


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

Reorder the terms:
3(-4 + x) + -1(5 + -2x) = 4x + -7
(-4 * 3 + x * 3) + -1(5 + -2x) = 4x + -7
(-12 + 3x) + -1(5 + -2x) = 4x + -7
-12 + 3x + (5 * -1 + -2x * -1) = 4x + -7
-12 + 3x + (-5 + 2x) = 4x + -7

Reorder the terms:
-12 + -5 + 3x + 2x = 4x + -7

Combine like terms: -12 + -5 = -17
-17 + 3x + 2x = 4x + -7

Combine like terms: 3x + 2x = 5x
-17 + 5x = 4x + -7

Reorder the terms:
-17 + 5x = -7 + 4x

Solving
-17 + 5x = -7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-17 + 5x + -4x = -7 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-17 + 1x = -7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-17 + 1x = -7 + 0
-17 + 1x = -7

Add '17' to each side of the equation.
-17 + 17 + 1x = -7 + 17

Combine like terms: -17 + 17 = 0
0 + 1x = -7 + 17
1x = -7 + 17

Combine like terms: -7 + 17 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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