4(x-2)=7(1+2x)

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Solution for 4(x-2)=7(1+2x) equation:


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

Reorder the terms:
4(-2 + x) = 7(1 + 2x)
(-2 * 4 + x * 4) = 7(1 + 2x)
(-8 + 4x) = 7(1 + 2x)
-8 + 4x = (1 * 7 + 2x * 7)
-8 + 4x = (7 + 14x)

Solving
-8 + 4x = 7 + 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.
-8 + 4x + -14x = 7 + 14x + -14x

Combine like terms: 4x + -14x = -10x
-8 + -10x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-8 + -10x = 7 + 0
-8 + -10x = 7

Add '8' to each side of the equation.
-8 + 8 + -10x = 7 + 8

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

Combine like terms: 7 + 8 = 15
-10x = 15

Divide each side by '-10'.
x = -1.5

Simplifying
x = -1.5

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