2x+4(2x-7)=7x-29

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Solution for 2x+4(2x-7)=7x-29 equation:


Simplifying
2x + 4(2x + -7) = 7x + -29

Reorder the terms:
2x + 4(-7 + 2x) = 7x + -29
2x + (-7 * 4 + 2x * 4) = 7x + -29
2x + (-28 + 8x) = 7x + -29

Reorder the terms:
-28 + 2x + 8x = 7x + -29

Combine like terms: 2x + 8x = 10x
-28 + 10x = 7x + -29

Reorder the terms:
-28 + 10x = -29 + 7x

Solving
-28 + 10x = -29 + 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.
-28 + 10x + -7x = -29 + 7x + -7x

Combine like terms: 10x + -7x = 3x
-28 + 3x = -29 + 7x + -7x

Combine like terms: 7x + -7x = 0
-28 + 3x = -29 + 0
-28 + 3x = -29

Add '28' to each side of the equation.
-28 + 28 + 3x = -29 + 28

Combine like terms: -28 + 28 = 0
0 + 3x = -29 + 28
3x = -29 + 28

Combine like terms: -29 + 28 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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