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

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


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

Reorder the terms:
7 + 5(-2 + x) = 7 + -4(x + -1)
7 + (-2 * 5 + x * 5) = 7 + -4(x + -1)
7 + (-10 + 5x) = 7 + -4(x + -1)

Combine like terms: 7 + -10 = -3
-3 + 5x = 7 + -4(x + -1)

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

Combine like terms: 7 + 4 = 11
-3 + 5x = 11 + -4x

Solving
-3 + 5x = 11 + -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.
-3 + 5x + 4x = 11 + -4x + 4x

Combine like terms: 5x + 4x = 9x
-3 + 9x = 11 + -4x + 4x

Combine like terms: -4x + 4x = 0
-3 + 9x = 11 + 0
-3 + 9x = 11

Add '3' to each side of the equation.
-3 + 3 + 9x = 11 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 11 + 3
9x = 11 + 3

Combine like terms: 11 + 3 = 14
9x = 14

Divide each side by '9'.
x = 1.555555556

Simplifying
x = 1.555555556

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