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

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Solution for 2x+4(x-5)=-1+7(x-1)+3 equation:


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

Reorder the terms:
2x + 4(-5 + x) = -1 + 7(x + -1) + 3
2x + (-5 * 4 + x * 4) = -1 + 7(x + -1) + 3
2x + (-20 + 4x) = -1 + 7(x + -1) + 3

Reorder the terms:
-20 + 2x + 4x = -1 + 7(x + -1) + 3

Combine like terms: 2x + 4x = 6x
-20 + 6x = -1 + 7(x + -1) + 3

Reorder the terms:
-20 + 6x = -1 + 7(-1 + x) + 3
-20 + 6x = -1 + (-1 * 7 + x * 7) + 3
-20 + 6x = -1 + (-7 + 7x) + 3

Reorder the terms:
-20 + 6x = -1 + -7 + 3 + 7x

Combine like terms: -1 + -7 = -8
-20 + 6x = -8 + 3 + 7x

Combine like terms: -8 + 3 = -5
-20 + 6x = -5 + 7x

Solving
-20 + 6x = -5 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-20 + 6x + -7x = -5 + 7x + -7x

Combine like terms: 6x + -7x = -1x
-20 + -1x = -5 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -1x = -5 + 0
-20 + -1x = -5

Add '20' to each side of the equation.
-20 + 20 + -1x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + -1x = -5 + 20
-1x = -5 + 20

Combine like terms: -5 + 20 = 15
-1x = 15

Divide each side by '-1'.
x = -15

Simplifying
x = -15

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