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

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


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

Reorder the terms:
4(3 + 2x) + 7 = 3x + 10
(3 * 4 + 2x * 4) + 7 = 3x + 10
(12 + 8x) + 7 = 3x + 10

Reorder the terms:
12 + 7 + 8x = 3x + 10

Combine like terms: 12 + 7 = 19
19 + 8x = 3x + 10

Reorder the terms:
19 + 8x = 10 + 3x

Solving
19 + 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.
19 + 8x + -3x = 10 + 3x + -3x

Combine like terms: 8x + -3x = 5x
19 + 5x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
19 + 5x = 10 + 0
19 + 5x = 10

Add '-19' to each side of the equation.
19 + -19 + 5x = 10 + -19

Combine like terms: 19 + -19 = 0
0 + 5x = 10 + -19
5x = 10 + -19

Combine like terms: 10 + -19 = -9
5x = -9

Divide each side by '5'.
x = -1.8

Simplifying
x = -1.8

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