2-3(x+5)=4x+7

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Solution for 2-3(x+5)=4x+7 equation:


Simplifying
2 + -3(x + 5) = 4x + 7

Reorder the terms:
2 + -3(5 + x) = 4x + 7
2 + (5 * -3 + x * -3) = 4x + 7
2 + (-15 + -3x) = 4x + 7

Combine like terms: 2 + -15 = -13
-13 + -3x = 4x + 7

Reorder the terms:
-13 + -3x = 7 + 4x

Solving
-13 + -3x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-13 + -3x + -4x = 7 + 4x + -4x

Combine like terms: -3x + -4x = -7x
-13 + -7x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
-13 + -7x = 7 + 0
-13 + -7x = 7

Add '13' to each side of the equation.
-13 + 13 + -7x = 7 + 13

Combine like terms: -13 + 13 = 0
0 + -7x = 7 + 13
-7x = 7 + 13

Combine like terms: 7 + 13 = 20
-7x = 20

Divide each side by '-7'.
x = -2.857142857

Simplifying
x = -2.857142857

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