10(4-x)+3=8(5-2x)-3

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Solution for 10(4-x)+3=8(5-2x)-3 equation:


Simplifying
10(4 + -1x) + 3 = 8(5 + -2x) + -3
(4 * 10 + -1x * 10) + 3 = 8(5 + -2x) + -3
(40 + -10x) + 3 = 8(5 + -2x) + -3

Reorder the terms:
40 + 3 + -10x = 8(5 + -2x) + -3

Combine like terms: 40 + 3 = 43
43 + -10x = 8(5 + -2x) + -3
43 + -10x = (5 * 8 + -2x * 8) + -3
43 + -10x = (40 + -16x) + -3

Reorder the terms:
43 + -10x = 40 + -3 + -16x

Combine like terms: 40 + -3 = 37
43 + -10x = 37 + -16x

Solving
43 + -10x = 37 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
43 + -10x + 16x = 37 + -16x + 16x

Combine like terms: -10x + 16x = 6x
43 + 6x = 37 + -16x + 16x

Combine like terms: -16x + 16x = 0
43 + 6x = 37 + 0
43 + 6x = 37

Add '-43' to each side of the equation.
43 + -43 + 6x = 37 + -43

Combine like terms: 43 + -43 = 0
0 + 6x = 37 + -43
6x = 37 + -43

Combine like terms: 37 + -43 = -6
6x = -6

Divide each side by '6'.
x = -1

Simplifying
x = -1

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