4+6(x-2)=3-7(x-8)

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Solution for 4+6(x-2)=3-7(x-8) equation:


Simplifying
4 + 6(x + -2) = 3 + -7(x + -8)

Reorder the terms:
4 + 6(-2 + x) = 3 + -7(x + -8)
4 + (-2 * 6 + x * 6) = 3 + -7(x + -8)
4 + (-12 + 6x) = 3 + -7(x + -8)

Combine like terms: 4 + -12 = -8
-8 + 6x = 3 + -7(x + -8)

Reorder the terms:
-8 + 6x = 3 + -7(-8 + x)
-8 + 6x = 3 + (-8 * -7 + x * -7)
-8 + 6x = 3 + (56 + -7x)

Combine like terms: 3 + 56 = 59
-8 + 6x = 59 + -7x

Solving
-8 + 6x = 59 + -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.
-8 + 6x + 7x = 59 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-8 + 13x = 59 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 13x = 59 + 0
-8 + 13x = 59

Add '8' to each side of the equation.
-8 + 8 + 13x = 59 + 8

Combine like terms: -8 + 8 = 0
0 + 13x = 59 + 8
13x = 59 + 8

Combine like terms: 59 + 8 = 67
13x = 67

Divide each side by '13'.
x = 5.153846154

Simplifying
x = 5.153846154

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