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

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


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

Reorder the terms:
2(-3 + x) + -4(x + 5) = 7x + 1
(-3 * 2 + x * 2) + -4(x + 5) = 7x + 1
(-6 + 2x) + -4(x + 5) = 7x + 1

Reorder the terms:
-6 + 2x + -4(5 + x) = 7x + 1
-6 + 2x + (5 * -4 + x * -4) = 7x + 1
-6 + 2x + (-20 + -4x) = 7x + 1

Reorder the terms:
-6 + -20 + 2x + -4x = 7x + 1

Combine like terms: -6 + -20 = -26
-26 + 2x + -4x = 7x + 1

Combine like terms: 2x + -4x = -2x
-26 + -2x = 7x + 1

Reorder the terms:
-26 + -2x = 1 + 7x

Solving
-26 + -2x = 1 + 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.
-26 + -2x + -7x = 1 + 7x + -7x

Combine like terms: -2x + -7x = -9x
-26 + -9x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-26 + -9x = 1 + 0
-26 + -9x = 1

Add '26' to each side of the equation.
-26 + 26 + -9x = 1 + 26

Combine like terms: -26 + 26 = 0
0 + -9x = 1 + 26
-9x = 1 + 26

Combine like terms: 1 + 26 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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