4(2x+7)=10(x+8)

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Solution for 4(2x+7)=10(x+8) equation:


Simplifying
4(2x + 7) = 10(x + 8)

Reorder the terms:
4(7 + 2x) = 10(x + 8)
(7 * 4 + 2x * 4) = 10(x + 8)
(28 + 8x) = 10(x + 8)

Reorder the terms:
28 + 8x = 10(8 + x)
28 + 8x = (8 * 10 + x * 10)
28 + 8x = (80 + 10x)

Solving
28 + 8x = 80 + 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.
28 + 8x + -10x = 80 + 10x + -10x

Combine like terms: 8x + -10x = -2x
28 + -2x = 80 + 10x + -10x

Combine like terms: 10x + -10x = 0
28 + -2x = 80 + 0
28 + -2x = 80

Add '-28' to each side of the equation.
28 + -28 + -2x = 80 + -28

Combine like terms: 28 + -28 = 0
0 + -2x = 80 + -28
-2x = 80 + -28

Combine like terms: 80 + -28 = 52
-2x = 52

Divide each side by '-2'.
x = -26

Simplifying
x = -26

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