7+3(x-6)=10-5(x-7)

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Solution for 7+3(x-6)=10-5(x-7) equation:


Simplifying
7 + 3(x + -6) = 10 + -5(x + -7)

Reorder the terms:
7 + 3(-6 + x) = 10 + -5(x + -7)
7 + (-6 * 3 + x * 3) = 10 + -5(x + -7)
7 + (-18 + 3x) = 10 + -5(x + -7)

Combine like terms: 7 + -18 = -11
-11 + 3x = 10 + -5(x + -7)

Reorder the terms:
-11 + 3x = 10 + -5(-7 + x)
-11 + 3x = 10 + (-7 * -5 + x * -5)
-11 + 3x = 10 + (35 + -5x)

Combine like terms: 10 + 35 = 45
-11 + 3x = 45 + -5x

Solving
-11 + 3x = 45 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-11 + 3x + 5x = 45 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-11 + 8x = 45 + -5x + 5x

Combine like terms: -5x + 5x = 0
-11 + 8x = 45 + 0
-11 + 8x = 45

Add '11' to each side of the equation.
-11 + 11 + 8x = 45 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = 45 + 11
8x = 45 + 11

Combine like terms: 45 + 11 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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