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 = -5
-5 + 8x = 3x + 10

Reorder the terms:
-5 + 8x = 10 + 3x

Solving
-5 + 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.
-5 + 8x + -3x = 10 + 3x + -3x

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

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

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

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

Combine like terms: 10 + 5 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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