13-8(x-2)=7(x+4)+46

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Solution for 13-8(x-2)=7(x+4)+46 equation:


Simplifying
13 + -8(x + -2) = 7(x + 4) + 46

Reorder the terms:
13 + -8(-2 + x) = 7(x + 4) + 46
13 + (-2 * -8 + x * -8) = 7(x + 4) + 46
13 + (16 + -8x) = 7(x + 4) + 46

Combine like terms: 13 + 16 = 29
29 + -8x = 7(x + 4) + 46

Reorder the terms:
29 + -8x = 7(4 + x) + 46
29 + -8x = (4 * 7 + x * 7) + 46
29 + -8x = (28 + 7x) + 46

Reorder the terms:
29 + -8x = 28 + 46 + 7x

Combine like terms: 28 + 46 = 74
29 + -8x = 74 + 7x

Solving
29 + -8x = 74 + 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.
29 + -8x + -7x = 74 + 7x + -7x

Combine like terms: -8x + -7x = -15x
29 + -15x = 74 + 7x + -7x

Combine like terms: 7x + -7x = 0
29 + -15x = 74 + 0
29 + -15x = 74

Add '-29' to each side of the equation.
29 + -29 + -15x = 74 + -29

Combine like terms: 29 + -29 = 0
0 + -15x = 74 + -29
-15x = 74 + -29

Combine like terms: 74 + -29 = 45
-15x = 45

Divide each side by '-15'.
x = -3

Simplifying
x = -3

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