5(x-2)-(7x-12)=x+1

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Solution for 5(x-2)-(7x-12)=x+1 equation:


Simplifying
5(x + -2) + -1(7x + -12) = x + 1

Reorder the terms:
5(-2 + x) + -1(7x + -12) = x + 1
(-2 * 5 + x * 5) + -1(7x + -12) = x + 1
(-10 + 5x) + -1(7x + -12) = x + 1

Reorder the terms:
-10 + 5x + -1(-12 + 7x) = x + 1
-10 + 5x + (-12 * -1 + 7x * -1) = x + 1
-10 + 5x + (12 + -7x) = x + 1

Reorder the terms:
-10 + 12 + 5x + -7x = x + 1

Combine like terms: -10 + 12 = 2
2 + 5x + -7x = x + 1

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

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

Solving
2 + -2x = 1 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
2 + -2x + -1x = 1 + x + -1x

Combine like terms: -2x + -1x = -3x
2 + -3x = 1 + x + -1x

Combine like terms: x + -1x = 0
2 + -3x = 1 + 0
2 + -3x = 1

Add '-2' to each side of the equation.
2 + -2 + -3x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 1 + -2
-3x = 1 + -2

Combine like terms: 1 + -2 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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