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

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


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

Reorder the terms:
2(-5 + x) + 1 = 7x + -3(x + 5)
(-5 * 2 + x * 2) + 1 = 7x + -3(x + 5)
(-10 + 2x) + 1 = 7x + -3(x + 5)

Reorder the terms:
-10 + 1 + 2x = 7x + -3(x + 5)

Combine like terms: -10 + 1 = -9
-9 + 2x = 7x + -3(x + 5)

Reorder the terms:
-9 + 2x = 7x + -3(5 + x)
-9 + 2x = 7x + (5 * -3 + x * -3)
-9 + 2x = 7x + (-15 + -3x)

Reorder the terms:
-9 + 2x = -15 + 7x + -3x

Combine like terms: 7x + -3x = 4x
-9 + 2x = -15 + 4x

Solving
-9 + 2x = -15 + 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.
-9 + 2x + -4x = -15 + 4x + -4x

Combine like terms: 2x + -4x = -2x
-9 + -2x = -15 + 4x + -4x

Combine like terms: 4x + -4x = 0
-9 + -2x = -15 + 0
-9 + -2x = -15

Add '9' to each side of the equation.
-9 + 9 + -2x = -15 + 9

Combine like terms: -9 + 9 = 0
0 + -2x = -15 + 9
-2x = -15 + 9

Combine like terms: -15 + 9 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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