5(2x-6)+4(x-1)=-x-2(x-5)+7

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Solution for 5(2x-6)+4(x-1)=-x-2(x-5)+7 equation: 


Simplifying
5(2x + -6) + 4(x + -1) = -1x + -2(x + -5) + 7

Reorder the terms:
5(-6 + 2x) + 4(x + -1) = -1x + -2(x + -5) + 7
(-6 * 5 + 2x * 5) + 4(x + -1) = -1x + -2(x + -5) + 7
(-30 + 10x) + 4(x + -1) = -1x + -2(x + -5) + 7

Reorder the terms:
-30 + 10x + 4(-1 + x) = -1x + -2(x + -5) + 7
-30 + 10x + (-1 * 4 + x * 4) = -1x + -2(x + -5) + 7
-30 + 10x + (-4 + 4x) = -1x + -2(x + -5) + 7

Reorder the terms:
-30 + -4 + 10x + 4x = -1x + -2(x + -5) + 7

Combine like terms: -30 + -4 = -34
-34 + 10x + 4x = -1x + -2(x + -5) + 7

Combine like terms: 10x + 4x = 14x
-34 + 14x = -1x + -2(x + -5) + 7

Reorder the terms:
-34 + 14x = -1x + -2(-5 + x) + 7
-34 + 14x = -1x + (-5 * -2 + x * -2) + 7
-34 + 14x = -1x + (10 + -2x) + 7

Reorder the terms:
-34 + 14x = 10 + 7 + -1x + -2x

Combine like terms: 10 + 7 = 17
-34 + 14x = 17 + -1x + -2x

Combine like terms: -1x + -2x = -3x
-34 + 14x = 17 + -3x

Solving
-34 + 14x = 17 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-34 + 14x + 3x = 17 + -3x + 3x

Combine like terms: 14x + 3x = 17x
-34 + 17x = 17 + -3x + 3x

Combine like terms: -3x + 3x = 0
-34 + 17x = 17 + 0
-34 + 17x = 17

Add '34' to each side of the equation.
-34 + 34 + 17x = 17 + 34

Combine like terms: -34 + 34 = 0
0 + 17x = 17 + 34
17x = 17 + 34

Combine like terms: 17 + 34 = 51
17x = 51

Divide each side by '17'.
x = 3

Simplifying
x = 3

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