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

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


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

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

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

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

Reorder the terms:
10 + -3x = -7(-2 + x)
10 + -3x = (-2 * -7 + x * -7)
10 + -3x = (14 + -7x)

Solving
10 + -3x = 14 + -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.
10 + -3x + 7x = 14 + -7x + 7x

Combine like terms: -3x + 7x = 4x
10 + 4x = 14 + -7x + 7x

Combine like terms: -7x + 7x = 0
10 + 4x = 14 + 0
10 + 4x = 14

Add '-10' to each side of the equation.
10 + -10 + 4x = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = 14 + -10
4x = 14 + -10

Combine like terms: 14 + -10 = 4
4x = 4

Divide each side by '4'.
x = 1

Simplifying
x = 1

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