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

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


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

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

Reorder the terms:
-10 + 2x + -4(-6 + x) = -7(x + 1)
-10 + 2x + (-6 * -4 + x * -4) = -7(x + 1)
-10 + 2x + (24 + -4x) = -7(x + 1)

Reorder the terms:
-10 + 24 + 2x + -4x = -7(x + 1)

Combine like terms: -10 + 24 = 14
14 + 2x + -4x = -7(x + 1)

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

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

Solving
14 + -2x = -7 + -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.
14 + -2x + 7x = -7 + -7x + 7x

Combine like terms: -2x + 7x = 5x
14 + 5x = -7 + -7x + 7x

Combine like terms: -7x + 7x = 0
14 + 5x = -7 + 0
14 + 5x = -7

Add '-14' to each side of the equation.
14 + -14 + 5x = -7 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = -7 + -14
5x = -7 + -14

Combine like terms: -7 + -14 = -21
5x = -21

Divide each side by '5'.
x = -4.2

Simplifying
x = -4.2

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