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

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


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

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

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

Reorder the terms:
-10 + -10 + 2x + -5x = 7x + -1

Combine like terms: -10 + -10 = -20
-20 + 2x + -5x = 7x + -1

Combine like terms: 2x + -5x = -3x
-20 + -3x = 7x + -1

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

Solving
-20 + -3x = -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.
-20 + -3x + -7x = -1 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-20 + -10x = -1 + 7x + -7x

Combine like terms: 7x + -7x = 0
-20 + -10x = -1 + 0
-20 + -10x = -1

Add '20' to each side of the equation.
-20 + 20 + -10x = -1 + 20

Combine like terms: -20 + 20 = 0
0 + -10x = -1 + 20
-10x = -1 + 20

Combine like terms: -1 + 20 = 19
-10x = 19

Divide each side by '-10'.
x = -1.9

Simplifying
x = -1.9

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