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

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


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

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

Reorder the terms:
10 + 8x = -3 + 10x

Solving
10 + 8x = -3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
10 + 8x + -10x = -3 + 10x + -10x

Combine like terms: 8x + -10x = -2x
10 + -2x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
10 + -2x = -3 + 0
10 + -2x = -3

Add '-10' to each side of the equation.
10 + -10 + -2x = -3 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -3 + -10
-2x = -3 + -10

Combine like terms: -3 + -10 = -13
-2x = -13

Divide each side by '-2'.
x = 6.5

Simplifying
x = 6.5

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