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

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


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

Reorder the terms:
10(-4 + x) + 3 = 8(5 + -2x) + -3
(-4 * 10 + x * 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 = -37
-37 + 10x = 8(5 + -2x) + -3
-37 + 10x = (5 * 8 + -2x * 8) + -3
-37 + 10x = (40 + -16x) + -3

Reorder the terms:
-37 + 10x = 40 + -3 + -16x

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

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

Combine like terms: 10x + 16x = 26x
-37 + 26x = 37 + -16x + 16x

Combine like terms: -16x + 16x = 0
-37 + 26x = 37 + 0
-37 + 26x = 37

Add '37' to each side of the equation.
-37 + 37 + 26x = 37 + 37

Combine like terms: -37 + 37 = 0
0 + 26x = 37 + 37
26x = 37 + 37

Combine like terms: 37 + 37 = 74
26x = 74

Divide each side by '26'.
x = 2.846153846

Simplifying
x = 2.846153846

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