4(2x+7)=3x-10

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Solution for 4(2x+7)=3x-10 equation:


Simplifying
4(2x + 7) = 3x + -10

Reorder the terms:
4(7 + 2x) = 3x + -10
(7 * 4 + 2x * 4) = 3x + -10
(28 + 8x) = 3x + -10

Reorder the terms:
28 + 8x = -10 + 3x

Solving
28 + 8x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
28 + 8x + -3x = -10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
28 + 5x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
28 + 5x = -10 + 0
28 + 5x = -10

Add '-28' to each side of the equation.
28 + -28 + 5x = -10 + -28

Combine like terms: 28 + -28 = 0
0 + 5x = -10 + -28
5x = -10 + -28

Combine like terms: -10 + -28 = -38
5x = -38

Divide each side by '5'.
x = -7.6

Simplifying
x = -7.6

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