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

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


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

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

Reorder the terms:
2 + 2x + 3(-7 + x) = 4(x + -5)
2 + 2x + (-7 * 3 + x * 3) = 4(x + -5)
2 + 2x + (-21 + 3x) = 4(x + -5)

Reorder the terms:
2 + -21 + 2x + 3x = 4(x + -5)

Combine like terms: 2 + -21 = -19
-19 + 2x + 3x = 4(x + -5)

Combine like terms: 2x + 3x = 5x
-19 + 5x = 4(x + -5)

Reorder the terms:
-19 + 5x = 4(-5 + x)
-19 + 5x = (-5 * 4 + x * 4)
-19 + 5x = (-20 + 4x)

Solving
-19 + 5x = -20 + 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.
-19 + 5x + -4x = -20 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-19 + 1x = -20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-19 + 1x = -20 + 0
-19 + 1x = -20

Add '19' to each side of the equation.
-19 + 19 + 1x = -20 + 19

Combine like terms: -19 + 19 = 0
0 + 1x = -20 + 19
1x = -20 + 19

Combine like terms: -20 + 19 = -1
1x = -1

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

Simplifying
x = -1

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