2-3(x+4)=7x+8

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Solution for 2-3(x+4)=7x+8 equation:


Simplifying
2 + -3(x + 4) = 7x + 8

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

Combine like terms: 2 + -12 = -10
-10 + -3x = 7x + 8

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

Solving
-10 + -3x = 8 + 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.
-10 + -3x + -7x = 8 + 7x + -7x

Combine like terms: -3x + -7x = -10x
-10 + -10x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
-10 + -10x = 8 + 0
-10 + -10x = 8

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

Combine like terms: -10 + 10 = 0
0 + -10x = 8 + 10
-10x = 8 + 10

Combine like terms: 8 + 10 = 18
-10x = 18

Divide each side by '-10'.
x = -1.8

Simplifying
x = -1.8

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