10+2(2x+1)=7x-3

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Solution for 10+2(2x+1)=7x-3 equation:


Simplifying
10 + 2(2x + 1) = 7x + -3

Reorder the terms:
10 + 2(1 + 2x) = 7x + -3
10 + (1 * 2 + 2x * 2) = 7x + -3
10 + (2 + 4x) = 7x + -3

Combine like terms: 10 + 2 = 12
12 + 4x = 7x + -3

Reorder the terms:
12 + 4x = -3 + 7x

Solving
12 + 4x = -3 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 4x + -7x = -3 + 7x + -7x

Combine like terms: 4x + -7x = -3x
12 + -3x = -3 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -3x = -3 + 0
12 + -3x = -3

Add '-12' to each side of the equation.
12 + -12 + -3x = -3 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -3 + -12
-3x = -3 + -12

Combine like terms: -3 + -12 = -15
-3x = -15

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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