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

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


Simplifying
4 + -1(3x + 2) = 7(2x + 5)

Reorder the terms:
4 + -1(2 + 3x) = 7(2x + 5)
4 + (2 * -1 + 3x * -1) = 7(2x + 5)
4 + (-2 + -3x) = 7(2x + 5)

Combine like terms: 4 + -2 = 2
2 + -3x = 7(2x + 5)

Reorder the terms:
2 + -3x = 7(5 + 2x)
2 + -3x = (5 * 7 + 2x * 7)
2 + -3x = (35 + 14x)

Solving
2 + -3x = 35 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
2 + -3x + -14x = 35 + 14x + -14x

Combine like terms: -3x + -14x = -17x
2 + -17x = 35 + 14x + -14x

Combine like terms: 14x + -14x = 0
2 + -17x = 35 + 0
2 + -17x = 35

Add '-2' to each side of the equation.
2 + -2 + -17x = 35 + -2

Combine like terms: 2 + -2 = 0
0 + -17x = 35 + -2
-17x = 35 + -2

Combine like terms: 35 + -2 = 33
-17x = 33

Divide each side by '-17'.
x = -1.941176471

Simplifying
x = -1.941176471

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